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

Solution

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

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