9
QuizMultiple Choice

Permutations and Combinations

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

A trial jury of 6 people will be chosen from among 18 candidates. How many juries are possible?

Answer
A
18,564
B
742,560
C
13,366,080
D
34,012,224

Explanation

The order in which the six jurors are selected does not matter, so use combinations: 18 choose 6 = (18 × 17 × 16 × 15 × 14 × 13) ÷ (6 × 5 × 4 × 3 × 2 × 1) = 18,564. Therefore, the number of possible juries is 18,564, choice A.

AI-written and checked against the verified answer.

Previous
Next