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Nine qualified applicants apply for a part-time job. If the manager randomly hires 3 of them, what is the probability that he hires the 3 oldest?

Nine qualified applicants apply for a part-time job. If the manager randomly hires 3 of them, what is the probability that he hires the 3 oldest?
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Nine qualified applicants apply for a part-time job. If the manager randomly hires 3 of them, what is the probability that he hires the 3 oldest?

User Hector Haffenden
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7.2k points

2 Answers

6 votes
1/3*1/4*1/7= 1/84
It is 9c3
User KaiserKatze
by
8.2k points
3 votes
There are 3! = 6 ways he can pick the 3 oldest people
Total number of permutations of any 3 from 9 = 9P3 = 9*8*7 = 504

so required probability = 6 / 504 = 1/84
User Nick Zhang
by
7.5k points
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