Question

Find the number of ways of choosing $4$ face cards from a pack of $52$ playing cards.

• A. $495$
• B. $493$
• C. $490$
• D. $492$

Answer 1

Answer: (A)

$495$

Answer 2

There are $12$ face cards and $4$ are to be selected out of these $12$ cards. This can be done in $^{12}C_{4}$ ways. Therefore, the required number of ways $= \frac{12!}{4! 8!}= 495$.