5
QuizMultiple Choice

Permutations and Combinations

Question 5 • HCISD-Mathematical Models with Applications B-CR SUMMER

A pool of possible jurors consists of 14 men and 10 women. How many different juries consisting of 5 men and 7 women are possible?

Answer
A
2,704,156
B
0.00033069
C
840.000331
D
240,240

Explanation

Choose 5 of the 14 men in 2,002 ways, and choose 7 of the 10 women in 120 ways. Since these choices are independent, multiply: 2,002 × 120 = 240,240 different juries. The correct choice is 240,240.

AI-written and checked against the verified answer.

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