How many ways can Hannah give three of her eight T-shirts to her younger sister?
1 answer:
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,
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,
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now subtract 5 from both sides
then finally we want x alone so we'll divide both sides by 3 and get our final answer!
now subtract 5 from both sides
then finally we want x alone so we'll divide both sides by 3 and get our final answer!