Marco is putting some sweaters into storage for the winter. He has 10 sweaters, and he can fit 6 sweaters into a box. How many different groups of 6 sweaters can Marco pack into a box?

Question

Mathematics

Carmen Tran

10 May, 18:53

Marco is putting some sweaters into storage for the winter. He has 10 sweaters, and he can fit 6 sweaters into a box. How many different groups of 6 sweaters can Marco pack into a box?

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Answers (1)

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Kadence Cross · Answer 1

Let us represent the slots of sweaters with dashes:

_, _, _, _, _, _

The first slot has 10 possibilities, the next has 9, the next has 8 and so on.

10 x 9 x 8 x 7 x 6 x 5

= 151200 arrangements