Question

4. Five cards are randomly chosen from a deck of 52 (13 denominations with 4 suits). a. How many ways are there to receive 5 cards from a deck of 52

Answer 1

There are 2,598,960 ways to receive 5 cards from a deck of 52.

Explanation:

The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

`C_(n,x)` is the number of different combinations of x objects from a set of n elements, given by the following formula.

`C_(n,x) = (n!)/(x!(n-x)!)`

a. How many ways are there to receive 5 cards from a deck of 52?

`C_(52,5) = (52!)/(5!(47)!) = 2598960`

There are 2,598,960 ways to receive 5 cards from a deck of 52.