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Numerade Educator

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Problem 8 Easy Difficulty

Tell whether each situation is a permutation or combination.
How many ways can 4 shirts be chosen from 10 shirts to take on a trip?

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Top Algebra Educators
GH
Grace H.

Numerade Educator

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Video Transcript

in question eight. We're just choosing four shirts. Doesn't matter what order we picked them in. So this is a combination of where we have 10 shirts and we're choosing four of them. So 10 times, nine times eight times seven tells me how many possible combinations there are. Since the order is not important, we're gonna have to remember to divide all where we have multiples there. So on the top there, 10 times, non times any time. Seven is 5040 four times, three times, two times one is 24. And so when we take off the ones that are the same, we are ending up with 210 possible combinations of T shirts.

University of Louisville
Top Algebra Educators
GH
Grace H.

Numerade Educator

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor