6
QuizMultiple Choice

Permutations and Combinations

Question 6 • Probability and Statistics 82974243 2026-2027 LEROP 9W1

A choir has 3 spots open for altos, and 8 altos are interested in them. In how many ways can the open spots be filled?

Answer
A
24
B
56
C
112
D
336

Explanation

The 3 spots are identical, so the order in which the altos are chosen does not matter. Use combinations: 8 choose 3 = (8 × 7 × 6) / (3 × 2 × 1) = 56. Thus, the spots can be filled in 56 ways, choice B.

AI-written and checked against the verified answer.

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