6
QuizMultiple Choice

Permutations and Combinations

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

How many combinations are possible for 13 objects taken 6 at a time?

Answer
A
1,716
B
205,920
C
1,235,520
D
4,826,809

Explanation

Because order does not matter when choosing combinations, use the formula C(n, r) = n! / (r!(n − r)!). Thus C(13, 6) = 13! / (6! × 7!) = 1,716. The correct choice is A, 1,716.

AI-written and checked against the verified answer.

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