Suppose you are given an ordinary deck of cards. In how many ways can seven cards be selected?

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Mosuviz Mosuviz

Math

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Suppose you are given an ordinary deck of cards. In how many ways can seven cards be selected?

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Jessicapenas991viz Jessicapenas991viz · Answer 1

Answer:

There are 52 cards in a standard deck, as you know I'm sure. There are, therefore, 52 different possibilities for drawing the first card of your "hand". Having drawn the first card, there are then 51 different possibilities for drawing the second card of your hand. Having drawn the first two cards, there are 50 possibilities for drawing the third card of your hand. Following this reasoning to its logical conclusion, there are 52x51x50x49x48x47x46 possibilities for drawing your 7 card hand. I will leave it to you as an exercise to carry out the multiplications.