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CombinationsExample: How many poker hands of five cards can be dealtfrom a standard deck of 52 cards? Also, how many ways arethere to select 47 cards from a deck of 52 cards?Solution: Since the order in which the cards are dealt doesnot matter, the number of five card hands is:C(52, 5) = (52!)/(5!47!)= (52 ·51 ·50 ·49 ·48)/(5 ·4 ·3 ·2 ·1) = 26 ·17 ·10 ·49 ·12 = 2,598,960• The different ways to select 47 cards from 52 isC(52, 47) = (52!)/(47!5!) = C(52, 5) = 2, 598, 960.

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