A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all. How many 5-card hands will consist of exactly 3 kings and 2 queens?

Question

Mathematics

Johan Strickland

19 July, 16:57

A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all. How many 5-card hands will consist of exactly 3 kings and 2 queens?

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Answers (1)

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Armando Poole · Answer 1

24

Step-by-step explanation:

In a deck of 52 cards, there are 4 kings and 4 queens

Selection of 3 kings out of 4 = 4 C 3 = 4

Selection of 2 queens out of 4 = 6

So, total number of selections = 4 x 6 = 24