Answer to Question #127860 in Statistics and Probability for Brian Hurley

Question

There is a deck of 72 cards. 5 cards will be drawn. The order of the draw IS important. What is the number of possible 5 card draws?

Answer 1

Given :

Total number of cards = 72

Use permutation when order is important.

Formula : when r items selected from n items , nPr= $\frac{n!}{(n-r)!}$

Solution :

72P5= $\frac{72!}{(72-5)!}$

= $\frac{72!}{67!}$

= 1678985280

Number of possible draws= 1678985280 ways