A survey is conducted and 3 people are to be chosen from a group of 20. a) In how many different ways could the 3 be chosen? (1140) b) If a group contains 8 men and 12 women, how many groups containing exactly 1 man are possible? (528) A solution for question b) is wanted. How can I solve this problem?

Abdiel Mays

Abdiel Mays

Answered question

2022-11-09

A survey is conducted and 3 people are to be chosen from a group of 20.
a) In how many different ways could the 3 be chosen? (1140)
b) If a group contains 8 men and 12 women, how many groups containing exactly 1 man are possible? (528)
A solution for question b) is wanted. How can I solve this problem?

Answer & Explanation

Stella Andrade

Stella Andrade

Beginner2022-11-10Added 19 answers

Since you need to select three people, you need to select one man and two women. The number of possible groups thus equals:
( 8 1 ) ( 12 2 ) = 8 66 = 528

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