MDM4U Permutations Practice


We started working with playing cards today. Your home is this question:

You deal 5 cards from a deck of 52 cards, 1 card to each of 5 people. How many different unique arrangements are there that include all 4 queens?

A solution:

Since all four queens are included, there are only 48 cards left to choose from for the fifth card. There are 5! ways to arrange the five cards, so this means there are (48)(5!) = 5760 total arrangements.

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