SOLUTION: 5) A 3 member arts council is to be chosen from 9 students, 6 of whom are female. the positions are president secretary and tresurer. what is the probability that A) that committe

Algebra ->  Probability-and-statistics -> SOLUTION: 5) A 3 member arts council is to be chosen from 9 students, 6 of whom are female. the positions are president secretary and tresurer. what is the probability that A) that committe      Log On


   

Question 395491: 5) A 3 member arts council is to be chosen from 9 students, 6 of whom are female. the positions are president secretary and tresurer. what is the probability that
A) that committee is all female?
B) the committee is comprised of the three youngest females
C) the younest girl is president, second younger is secretary and third youngest is tresurer
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!
3 are male and 6 are female student out of 9.

no. of ways to choose 3 positions out of 9 students = 9P3 = 504

A) no. of ways to choose 3 positions out of 6 female = 6P3 = 120

probability of all female members = 120/504


B)
no. of ways to choose 3 positions out of 3 youngest females = 3P3 = 6
probability = 6/504


C)no. of ways to choose the youngest girl is president, second younger is secretary and third youngest is treasurer = 1

probability = 1/504