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 de

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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

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Farah 4 days 2021-07-22T17:24:26+00:00 1 Answers 2 views 0

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    2021-07-22T17:26:10+00:00

    Answer:

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

    Step-by-step 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} = \frac{n!}{x!(n-x)!}

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

    C_{52,5} = \frac{52!}{5!(47)!} = 2598960

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

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