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Lidia is packing her suitcase in the dark, so as to not wake her little sister. She blindly chooses 3 of her 5 sweaters. What is the probability that she chooses her 3 favorite sweaters?

Option A: 1/10

Option B: 1/15

Option C: 1/60

Option D: 1/75

Verified Answer :

meerkat18

The sample space of choosing 3 sweaters from the 5 sweaters in the suitcase is 5C3 or "combination of 5 taken 3" which is equal to 10. If she has 3 favorites from them, the ways she could choose the 3 is equal to 3C3 which is equal to 1. The probability is equal to 1/10.

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