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Recent questions in Engineering Mathematics
0
votes
2
answers
7291
how many solutions
How many solutions do the following equation have x1+x2+x3=11 where x1≥1, x2≥2, x3≥3 (A) C(7, 11) (B) C(11, 3) (C) C(14, 11) (D) C(7, 5)
omveer
asked
in
Set Theory & Algebra
Sep 2, 2016
by
omveer
7.4k
views
2
votes
1
answer
7292
Kenneth Rosen Edition 6th Exercise 1.5 Question 9 a (Page No. 73)
How do I proceed with the question below and then solve it? For each sets of premises, what relevant conclusion or conclusions can be drawn? Explain the rules of inference used to obtain each conclusion from the premises. " ... ; "It did not snow on Thursday." Please help me in regard with this question. Thank You.
Navneet Srivastava
asked
in
Mathematical Logic
Sep 2, 2016
by
Navneet Srivastava
4.3k
views
mathematical-logic
kenneth-rosen
propositional-logic
0
votes
1
answer
7293
test series
Pankaj kumar
asked
in
Mathematical Logic
Sep 1, 2016
by
Pankaj kumar
581
views
1
vote
2
answers
7294
test series
Which of the following arguments is invalid? $P \vee Q, \sim P \rightarrow R, Q \rightarrow S \vdash R \wedge S$ $P \rightarrow \sim Q, R \rightarrow Q, R \vdash \sim P$ $P \rightarrow R, Q \rightarrow R, Q \vee P \vdash R$ $P \rightarrow \sim Q, \sim Q \vdash P$
Pankaj kumar
asked
in
Mathematical Logic
Sep 1, 2016
by
Pankaj kumar
739
views
28
votes
3
answers
7295
Find the number of integral solutions using generating function
Find the number of integral solutions of $\large 2x + y + z = 20$ with $x, y, z >= 0$ ? I tried finding coefficient of $x^{20}$ in $(1 + x^2 + x^3 + ...... + x^{10})(1+ x^2 + .......... + x^{20})^2$, but it gives wrong answer ?
mcjoshi
asked
in
Combinatory
Sep 1, 2016
by
mcjoshi
9.0k
views
combinatory
combinational-circuit
generating-functions
0
votes
1
answer
7296
rank of a matrix
Rank of following matix? 12 22 32 42 32 42 52 62 42 52 62 72 please note the changes.
gate_forum
asked
in
Mathematical Logic
Aug 31, 2016
by
gate_forum
903
views
1
vote
0
answers
7297
#Generating_Function
We are interested in generating functions for the number of different ways to com pose a bag of n donuts subject to various restrictions. For each of the restrictions in below, find a closed form for the corresponding generating function. 1.The donuts must be chocolate, ... there must be a multiple of 4 plain. 2. All the donuts are plain and their number is a multiple of 4
Sarvottam Patel
asked
in
Mathematical Logic
Aug 31, 2016
by
Sarvottam Patel
444
views
discrete
counting
1
vote
3
answers
7298
Probability Expectaiton
A box contain 2 red balls and 3 white balls. The random experiment is picking two balls from the box. When 2 white balls picked, the balls will be replaced and experiment repeated. Otherwise stop the experiment. What is the expected number of repetations?
Manu Madhavan
asked
in
Mathematical Logic
Aug 31, 2016
by
Manu Madhavan
552
views
probability
expectation
1
vote
2
answers
7299
#Deragement How many ways we put letter
How many ways we can put 5 letters L1 ,L2, L3, L4 ,L5 in 5 envelope e1, e2, e3, e4, e5 (at 1 letter per envelope) so that At most 1 letter is correctly placed At least 1 Letter is wrongly placed
Sarvottam Patel
asked
in
Mathematical Logic
Aug 30, 2016
by
Sarvottam Patel
632
views
combinatory
2
votes
2
answers
7300
Permutation
Given a integer N greater than zero. How many sequences of 1's and 2's are there such that sum of the numbers in the sequence = N ? (not necessary that every sequence must contain both 1 and 2 ) example : for N = 2 ; 11,2 => ans = 2 sequences of 1's and 2's for N = 3 ; 11,12,21 => ans = 3 sequences of 1's and 2's
dd
asked
in
Combinatory
Aug 29, 2016
by
dd
659
views
combinatory
generating-functions
recurrence-relation
1
vote
1
answer
7301
GATEBOOK
Given answer a C but iam getting A
Niharika 1
asked
in
Mathematical Logic
Aug 28, 2016
by
Niharika 1
212
views
2
votes
1
answer
7302
Quiz Question
Which of the following interference system is invalid? $R \rightarrow S, \sim \vdash \sim R$ $\sim R, P \rightarrow Q, Q \rightarrow R \vdash \sim P$ ... Iam getting answer as c but given b.
Niharika 1
asked
in
Mathematical Logic
Aug 28, 2016
by
Niharika 1
626
views
2
votes
1
answer
7303
Group theory
Let the number of non-isomorphic groups of order 10 be X and number of non-isomorphic groups of order 24 be Y then the value of X and Y a) 3,2 b)2,7 c)1,7 d)4,5
Amit puri
asked
in
Mathematical Logic
Aug 27, 2016
by
Amit puri
415
views
2
votes
1
answer
7304
Group theory
Let $G$ be a group whose presentation is $G=\{ x, y \mid x^5 =y^2 =e, \:\:\:\: x^2y=yx\}$, $\mathcal{Z}_n$: Set of integers modulo $n$ Then $G$ is isomorphic to $\mathcal{Z}_5$ $\mathcal{Z}_{10}$ $\mathcal{Z}_2$ $\mathcal{Z}_{30}$
Amit puri
asked
in
Mathematical Logic
Aug 27, 2016
by
Amit puri
276
views
3
votes
2
answers
7305
Self
∀x∃y P(x) → Q(y) ≡ ∀x P(x) → ∃yQ(y) We have to prove whether this is a tautology or not. How do we proceed ?
bane
asked
in
Mathematical Logic
Aug 26, 2016
by
bane
490
views
mathematical-logic
first-order-logic
1
vote
1
answer
7306
ugcnet_june_2008_II
5. In a set of 8 positive integers, there always exists a pair of numbers having the same remainder when divided by: .(A) 7 (B) 11 (C) 13 (D) 15
omveer
asked
in
Linear Algebra
Aug 25, 2016
by
omveer
2.4k
views
2
votes
1
answer
7307
Limit
Calculate the limit $\lim_{x \rightarrow 1-} \sqrt[3]{x+1} \: ln \: (x+1)$ 1 0 2 Does not exist
srestha
asked
in
Calculus
Aug 25, 2016
by
srestha
876
views
limits
1
vote
1
answer
7308
Continuity
srestha
asked
in
Calculus
Aug 25, 2016
by
srestha
671
views
calculus
2
votes
3
answers
7309
Probability
In a certain group of computer personnel, 65% have insufficient knowledge of hardware, 45% have inadequate idea of software and 70% are in either one (or) both of the two categories. What is the percentage of people who knpw software among those who have a sufficient knowledge of hardware? 0.35/0.3 0.3/0.35 0.3 0.35
srestha
asked
in
Probability
Aug 25, 2016
by
srestha
2.3k
views
probability
1
vote
2
answers
7310
wff
A WFF that is equivalent to the WFF x=>y is: (A) y=>x (B) ~y=>x (C) ~y=>~x (D) y=>~x
omveer
asked
in
Mathematical Logic
Aug 25, 2016
by
omveer
1.4k
views
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