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Recent questions tagged kenneth-rosen
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211
Kenneth Rosen Edition 7 Exercise 6.5 Question 36 (Page No. 433)
How many different bit strings can be formed using six $1s$ and eight $0s?$
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Combinatory
May 1, 2020
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admin
418
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kenneth-rosen
discrete-mathematics
counting
combinatory
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0
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212
Kenneth Rosen Edition 7 Exercise 6.5 Question 35 (Page No. 433)
How many strings with seven or more characters can be formed from the letters in $\text{EVERGREEN}?$
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Combinatory
May 1, 2020
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admin
308
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kenneth-rosen
discrete-mathematics
counting
combinatory
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Kenneth Rosen Edition 7 Exercise 6.5 Question 34 (Page No. 433)
How many strings with five or more characters can be formed from the letters in $\text{SEERESS}?$
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Combinatory
Apr 30, 2020
by
admin
441
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kenneth-rosen
discrete-mathematics
counting
combinatory
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Kenneth Rosen Edition 7 Exercise 6.5 Question 33 (Page No. 433)
How many different strings can be made from the letters in $\text{ORONO},$ using some or all of the letters?
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Combinatory
Apr 30, 2020
by
admin
316
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kenneth-rosen
discrete-mathematics
counting
combinatory
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Kenneth Rosen Edition 7 Exercise 6.5 Question 32 (Page No. 433)
How many different strings can be made from the letters in $\text{AARDVARK},$ using all the letters, if all three $As$ must be consecutive?
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Combinatory
Apr 30, 2020
by
admin
1.0k
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
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216
Kenneth Rosen Edition 7 Exercise 6.5 Question 31 (Page No. 433)
How many different strings can be made from the letters in $\text{ABRACADABRA,}$ using all the letters?
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Combinatory
Apr 30, 2020
by
admin
507
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kenneth-rosen
discrete-mathematics
counting
combinatory
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Kenneth Rosen Edition 7 Exercise 6.5 Question 30 (Page No. 433)
How many different strings can be made from the letters in $\text{MISSISSIPPI},$ using all the letters?
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asked
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Combinatory
Apr 30, 2020
by
admin
300
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
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Kenneth Rosen Edition 7 Exercise 6.5 Question 29 (Page No. 433)
How many different bit strings can be transmitted if the string must begin with a $1$ bit, must include three additional $1$ bits (so that a total of four $1$ bits is sent), must include a total of $12\:\: 0$ bits, and must have at least two $0$ bits following each $1$ bit?
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Combinatory
Apr 30, 2020
by
admin
354
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
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Kenneth Rosen Edition 7 Exercise 6.5 Question 28 (Page No. 433)
Show that there are $C(n + r − q_{1} − q_{2} −\dots − q_{r} −1, n − q_{1} − q_{2} −\dots − q_{r})$ different unordered selections of $n$ objects of $r$ different types that include at least $q_{1}$ objects of type one, $q_{2}$ objects of type two $,\dots, $ and $q_{r}$ objects of type $r.$
admin
asked
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Combinatory
Apr 30, 2020
by
admin
251
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
1
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Kenneth Rosen Edition 7 Exercise 6.5 Question 27 (Page No. 433)
There are $10$ questions on a discrete mathematics final exam. How many ways are there to assign scores to the problems if the sum of the scores is $100$ and each question is worth at least $5$ points?
admin
asked
in
Combinatory
Apr 30, 2020
by
admin
1.7k
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
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221
Kenneth Rosen Edition 7 Exercise 6.5 Question 26 (Page No. 433)
How many positive integers less than $1,000,000$ have exactly one digit equal to $9$ and have a sum of digits equal to $13?$
admin
asked
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Combinatory
Apr 30, 2020
by
admin
387
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
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Kenneth Rosen Edition 7 Exercise 6.5 Question 25 (Page No. 433)
How many positive integers less than $1,000,000$ have the sum of their digits equal to $19?$
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Combinatory
Apr 30, 2020
by
admin
449
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
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Kenneth Rosen Edition 7 Exercise 6.5 Question 24 (Page No. 432)
How many ways are there to distribute $15$ distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively.
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asked
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Combinatory
Apr 30, 2020
by
admin
1.5k
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
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224
Kenneth Rosen Edition 7 Exercise 6.5 Question 23 (Page No. 432)
How many ways are there to distribute $12$ distinguishable objects into six distinguishable boxes so that two objects are placed in each box?
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asked
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Combinatory
Apr 30, 2020
by
admin
793
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
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Kenneth Rosen Edition 7 Exercise 6.5 Question 22 (Page No. 432)
How many ways are there to distribute $12$ indistinguishable balls into six distinguishable bins?
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asked
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Combinatory
Apr 30, 2020
by
admin
628
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
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Kenneth Rosen Edition 7 Exercise 6.5 Question 21 (Page No. 432)
How many ways are there to distribute six indistinguishable balls into nine distinguishable bins?
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in
Combinatory
Apr 30, 2020
by
admin
2.7k
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
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Kenneth Rosen Edition 7 Exercise 6.5 Question 20 (Page No. 432)
How many solutions are there to the inequality $x_{1} + x_{2} + x_{3} \leq 11,$ where $x_{1}, x_{2}, \:\text{and}\: x_{3}$ are nonnegative integers? [Hint: Introduce an auxiliary variable $x_{4}$ such that $x_{1} + x_{2} + x_{3} + x_{4} = 11.]$
admin
asked
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Combinatory
Apr 30, 2020
by
admin
425
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
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Kenneth Rosen Edition 7 Exercise 6.5 Question 19 (Page No. 432)
Suppose that a large family has $14$ children, including two sets of identical triplets, three sets of identical twins, and two individual children. How many ways are there to seat these children in a row of chairs if the identical triplets or twins cannot be distinguished from one another?
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asked
in
Combinatory
Apr 30, 2020
by
admin
1.0k
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
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229
Kenneth Rosen Edition 7 Exercise 6.5 Question 18 (Page No. 432)
How many strings of $20$-decimal digits are there that contain two $0s,$ four $1s,$ three $2s,$ one $3,$ two $4s,$ three $5s,$ two $7s,$ and three $9s?$
admin
asked
in
Combinatory
Apr 30, 2020
by
admin
1.2k
views
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
votes
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230
Kenneth Rosen Edition 7 Exercise 6.5 Question 17 (Page No. 432)
How many strings of $10$ ternary digits $(0, 1,\:\text{or}\: 2)$ are there that contain exactly two $0s,$ three $1s,$ and five $2s?$
admin
asked
in
Combinatory
Apr 30, 2020
by
admin
392
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
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2
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231
Kenneth Rosen Edition 7 Exercise 6.5 Question 16 (Page No. 432)
How many solutions are there to the equation $x_{1} + x_{2} + x_{3} + x_{4} + x_{5} + x_{6} = 29,$ where $x_{i},i = 1, 2, 3, 4, 5, 6,$ is a nonnegative integer such that $x_{i} > 1\:\text{for}\: i = 1, 2, 3, 4, 5, 6?$ ... $x_{1} ≤ 5?$ $x_{1} < 8\:\text{and}\: x_{2} > 8?$
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asked
in
Combinatory
Apr 30, 2020
by
admin
5.3k
views
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
1
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232
Kenneth Rosen Edition 7 Exercise 6.5 Question 15 (Page No. 432)
How many solutions are there to the equation $x1 + x2 + x3 + x4 + x5 = 21,$ where $xi, i = 1, 2, 3, 4, 5,$ is a nonnegative integer such that $x_{1} \geq1? $ $x_{i} \geq 2\:\text{for}\: i = 1, 2, 3, 4, 5? $ $0 \leq x_{1} \leq 10?$ $0 \leq x_{1} \leq 3, 1 \leq x_{2} < 4,\:\text{and}\: x_{3} \geq 15?$
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asked
in
Combinatory
Apr 30, 2020
by
admin
897
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
1
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Kenneth Rosen Edition 7 Exercise 6.5 Question 14 (Page No. 432)
How many solutions are there to the equation $x_{1} + x_{2} + x_{3} + x_{4} = 17,$ where $x_{1}, x_{2}, x_{3},\:\text{and}\: x_{4}$ are nonnegative integers?
admin
asked
in
Combinatory
Apr 30, 2020
by
admin
391
views
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
2
votes
1
answer
234
Kenneth Rosen Edition 7 Exercise 6.5 Question 13 (Page No. 432)
A book publisher has $3000$ copies of a discrete mathematics book. How many ways are there to store these books in their three warehouses if the copies of the book are indistinguishable?
admin
asked
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Combinatory
Apr 30, 2020
by
admin
2.6k
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kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
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235
Kenneth Rosen Edition 7 Exercise 6.5 Question 12 (Page No. 432)
How many different combinations of pennies, nickels, dimes, quarters, and half dollars can a piggy bank contain if it has $20$ coins in it?
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asked
in
Combinatory
Apr 30, 2020
by
admin
1.2k
views
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
votes
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236
Kenneth Rosen Edition 7 Exercise 6.5 Question 11 (Page No. 432)
How many ways are there to choose eight coins from a piggy bank containing $100$ identical pennies and $80$ identical nickels?
admin
asked
in
Combinatory
Apr 30, 2020
by
admin
1.6k
views
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
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237
Kenneth Rosen Edition 7 Exercise 6.5 Question 10 (Page No. 432)
A croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants, apple croissants, and broccoli croissants. How many ways are there to choose a dozen croissants? three dozen croissants? two dozen ... least one almond croissant, at least two apple croissants, and no more than three broccoli croissants?
admin
asked
in
Combinatory
Apr 30, 2020
by
admin
721
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kenneth-rosen
discrete-mathematics
counting
combinatory
0
votes
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238
Kenneth Rosen Edition 7 Exercise 6.5 Question 9 (Page No. 432)
A bagel shop has onion bagels, poppy seed bagels, egg bagels, salty bagels, pumpernickel bagels, sesame seed bagels, raisin bagels, and plain bagels. How many ways are there to choose six bagels? a dozen bagels? two dozen bagels? ... least one of each kind? a dozen bagels with at least three egg bagels and no more than two salty bagels?
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asked
in
Combinatory
Apr 30, 2020
by
admin
7.3k
views
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
votes
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answer
239
Kenneth Rosen Edition 7 Exercise 6.5 Question 8 (Page No. 432)
How many different ways are there to choose a dozen donuts from the $21$ varieties at a donut shop?
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in
Combinatory
Apr 30, 2020
by
admin
1.6k
views
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
0
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2
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240
Kenneth Rosen Edition 7 Exercise 6.5 Question 7 (Page No. 432)
How many ways are there to select three unordered elements from a set with five elements when repetition is allowed?
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Combinatory
Apr 30, 2020
by
admin
3.4k
views
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
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