Question

The number of ways of dividing $52$ cards equally into four sets is

• A. $\frac{52!}{4!(13!{)}^4}$
• B. $\frac{52!}{(13!{)}^4}$
• C. $\frac{52!}{4(13!{)}^4}$
• D. $Noneofthese$

Answer 1

The correct option is A $\frac{52!}{4!(13!{)}^4}$

General formula to find the number of ways the 4n things are equally distrbuted amongst 4 persons is:

$\frac{4n!}{(n!{)}^{4}4!}$

$=\frac{(4\times 13)!}{(13!{)}^{4}4!}$

$=\frac{52!}{(13!{)}^{4}4!}$