Question

I. The no.of ways of dividing 15 different objects into 3 equal groups is $\frac{15!}{5!5!5!}$
II. The no.of ways in which 52 cards can be distributed among 4 persons equally is $\frac{52!}{(13{)}^4.4!}$ Which of the above statement is correct?

• A. Only I
• B. Only II
• C. Both I and II
• D. Neither I nor II

Answer 1

The correct option is D Neither I nor II

I : $\frac{15!}{(5!{)}^{3}3!}\Rightarrow$ false. Since group size is same.
II : $\frac{52!}{(13!{)}^4}\Rightarrow$ false. Since position of persons are fixed.