What is the binomial coefficient C(8, 3)?

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

What is the binomial coefficient C(8, 3)?

Explanation:
Binomial coefficients count the ways to choose k items from n without regard to order. They’re written as C(n, k) and computed as n!/(k!(n−k)!). For 8 choose 3, canceling gives (8×7×6)/(3×2×1) = 56. So the value is 56. The other numbers come from different choices: 70 is 8 choose 4, 28 is 8 choose 2, and 35 is 7 choose 3 (or 7 choose 4).

Binomial coefficients count the ways to choose k items from n without regard to order. They’re written as C(n, k) and computed as n!/(k!(n−k)!). For 8 choose 3, canceling gives (8×7×6)/(3×2×1) = 56. So the value is 56. The other numbers come from different choices: 70 is 8 choose 4, 28 is 8 choose 2, and 35 is 7 choose 3 (or 7 choose 4).

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