#first course in probability #sheldon_ross

Question

In how many ways can 3 boys and 3 girls can sit together such that ONLY boys should together?

Answer 1

Answer is 4!*3!

Comments

can u explain how ?

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Note the word "ONLY"  which means only boys should be together and not girls .....

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ok all boys is consider one boy (B1,B2,B3) then one group of boy and 3 girls is total 4 are 4! way to sit togather but in the boys group is individualy 3 boys are 3! way to sit togather. Then total is 4!*3!

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3!*4C3*3!=15*36=540

Answer 2

Should not the answer be

$$4^3*3!$$

As the boys can sit togethere, hence the number of "places" where boys can sit does reduce (as in the case where no boy can sit with another boy and no girl can sit with another girl).

Please correct me if I am wrong. Thanks