Answer to Question #281721 in Discrete Mathematics for Himanshi

Question

Let A consist of all 52 cards in an ordinary deck of playing cards. Suppose that

this deck is shuffled and a hand of five cards is dealt. A list of cards in this hand,

in the order in which they were dealt, is a permutation of A taken five at a tim

Answer 1

Solution;

The number of ways of 5 cards drawn at a time is a permutation of;

$(\begin{array}{cc} 52 \\ 5 \end{array})$ =$\frac{52!}{5!(52-5)!}$ $=\frac{52×51×50×49×48×46!}{5!×47!}$

$=\frac{311875200}{120}=2598960$