Question

I : The number of ways in which 52 cards can be divided among 4 players so that each may have 13 is $\frac{52!}{(13!{)}^4.4!}$
II : The number of ways in which 52 cards can be divided into 4 sets of 13 each is $\frac{(52!)}{(13!{)}^4}$
Which of the above statements is true?

• 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. The number of ways in which 52 cards can be divided among 4 players so that each may have 13 is $\frac{(52!)}{(13!{)}^4}$ (since we are dividing and distributing among four distinct person)
II : The number of ways in which 52 cards can be divided into 4 sets of 13 each is
$\frac{52!}{(13!{)}^4.4!}$ (since we are not distinguishing between the sets)