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The probability of picking ABC, in that order, from 5 A's, 3 B's, and 2 C's, without replacement, is (5 in 10) times (3 in 9) times (2 in 8), or 30 in 720, or 3 in 72, or 1 in 24.

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Q: A bag of letter tiles contains 5 As 3 Bs and 2 Cs what is the probability of picking ABC in order in three draws from the bag without replacement?
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