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Question

I. The no.of ways of dividing 15 different objects into 3 equal groups is $$ \dfrac {15!}{5!5!5!}$$
II. The no.of ways in which 52 cards can be distributed among 4 persons equally is $$ \dfrac {52!}{(13)^4 . 4!} $$ Which of the above statement is correct?


A
Only I
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B
Only II
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C
Both I and II
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D
Neither I nor II
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Solution

The correct option is D Neither I nor II
I : $$\cfrac{15!}{(5!)^{3}3!}\Rightarrow $$ false. Since group size is same.
II : $$\cfrac{52!}{(13!)^4}\Rightarrow $$ false. Since position of persons are fixed.

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