zoiesassy
zoiesassy zoiesassy
  • 09-03-2018
  • Mathematics
contestada

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

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Thagie
Thagie Thagie
  • 19-03-2018
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,

[tex] \frac{(8)(7)(6)}{(3)(2)(1)}=(8)(7)=56 [/tex]
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