Question

Number of ways of dividing $80$ cards into $5$ equal groups of $16$ each is :

• A. $\frac{80!}{(16!{)}^5}$
• B. $\frac{80!}{(5!{)}^{16}}$
• C. $\frac{80!}{(5!{)}^5}$
• D. $\frac{80!}{(16!{)}^5\cdot 5!}$

Answer 1

The correct option is D $\frac{80!}{(16!{)}^5\cdot 5!}$

Number of ways of dividing $80$ cards into $5$ equal groups of $16$ each
$=\frac{80!}{(16!{)}^5\cdot 5!}$