In how many ways can we draw five cards from an ordinary

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QUESTION:

In how many ways can we draw five cards from an ordinary deck of 52 cards (a) with replacement; (b) without replacement?

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QUESTION:

In how many ways can we draw five cards from an ordinary deck of 52 cards (a) with replacement; (b) without replacement?

ANSWER:

Step 1 of 2

Let  be the sets with  elements, then there are  ways.

First we choose element of  , second element of  and in the last choose element.

Here, assume the set of all possible outcomes of the  cards =

The possible outcomes are,

Hence, the total number of drawing five cards from the deck of 52 cards with replacement is given as:

Thus, the total number of ways is 380,204,032.

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