SOLUTION: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck. How many hands contain 4 queens?

Question 1185836: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.
How many hands contain 4 queens?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

There are exactly 4 (four) queens in a standard deck.

So we consider quintuples of cards (the sets consisting of 5 cards) that have 4 queens.

All such quintuples are obtained by adding one / (any) of 48 non-queens cards to the group of 4 queens cards.

So, the number of such quintuples is exactly 48, the number of non-queens in the standard deck of cards. ANSWER

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Solved and thoroughly explained.

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