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

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

Tardigrade Admin · Accepted Answer

There are 12 face cards and 4 are to be selected out of these 12 cards. This can be done in 12C4 ways. Therefore, the required number of ways = (12!/4! 8!)= 495.

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

$495$

$493$

$490$

$492$

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 $= \frac{12 !}{4 ! 8 !} = 495$ .

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

495

493

490

492