Question

in 5 - card poker, each player is dealt 5 cards (go figure) from a standard deck of 52 cards. a total of different hands can be dealt. undo

Explanation:

Step1: Use combination formula

The number of ways to choose \(r\) items from \(n\) items is given by \(C(n,r)=\frac{n!}{r!(n - r)!}\). Here \(n = 52\) (total number of cards) and \(r=5\) (number of cards in a hand).

Step2: Calculate factorial values

\(n!=n\times(n - 1)\times\cdots\times1\). So \(52! = 52\times51\times50\times49\times48\times47!\), \(5! = 5\times4\times3\times2\times1=120\), and \((52 - 5)!=47!\).

Step3: Substitute into formula

$$
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Step4: Simplify the expression

$$
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Answer:

\(2598960\)