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How many ways can Hannah give three of her eight T-shirts to her younger sister?

User Malihu
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1 Answer

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If Hannah gives her younger sister 3 shirts, it does not matter what order she hands them to her. No matter the order, it will still be the same group of 3 shirt. Since order is not important this problem can be solved using a combination.

Specifically we are asked to find 8C3 (sometimes called "8 choose 3"). This is a fraction. In the numerator we start with 8 and count down 3 numbers. In the denominator we start with 3 and count all the way down to 1. Thus we obtain,


((8)(7)(6))/((3)(2)(1))=(8)(7)=56
User Scaryman
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