You and your bestfriend are both on the swim team. You want to beat your bestfriend at the next swim meet so you decide to swim
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We want to choose 4 people and we have 6 people to choose from. This is a combination of 6, 4 by 4. Also called <em>six choose four</em>.
The following formula:
Is the combination of objects choosen from a total of
. It's
choose
.
For our problem, we just need to compute the following:
Thus
Therefore the answer is 15 different combinations