Monica is going out for the evening. She is choosing from one of 6 dresses, one pair out of 5 pairs of shoes, and one out of 3 evening bags. In how many ways can she choose?
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First he has to decide on a pair of pants and he has 4 different choices. For each of those ... More
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There are 90 ways of choosing her dress, shoes and bag.
Step-by-step explanation:
Given:
No. of dresses she has = 6
No. of shoe pairs = 5
No. of evening bags = 3
She needs 1 from each of dress, shoes and bags.
Therefore,
She can choose a dress in ⁶C₁ = 6 ways
She can choose shoes in ⁵C₁ = 5 ways
She can choose a bag in ³C₁ = 3 ways
Therefore, the no. of ways of choosing all of them together = 6 x 5 x 3
= 90
Therefore, there are 90 ways of choosing her dress, shoes and bag.
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