# SOLUTION: A group consists of 5 males and 6 females. Four people are selected from the group. 1. In how many ways can we choose 4 people from those 11? 2. In how many ways ca

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 Question 103004: A group consists of 5 males and 6 females. Four people are selected from the group. 1. In how many ways can we choose 4 people from those 11? 2. In how many ways can we choose 4 females from the 6 females? 3. What is the probability that we get all 4 females when we choose 4 from the whole group? 4. What is the probability that we get at least 1 male when we choose 4 from the whole group? Answer by stanbon(57361)   (Show Source): You can put this solution on YOUR website!A group consists of 5 males and 6 females. Four people are selected from the group. 1. In how many ways can we choose 4 people from those 11? 11C4 = [11*10*9*8]/[1*2*3*4] = 330 ------------------------------------------ 2. In how many ways can we choose 4 females from the 6 females? 6C4 = 6C2 = [6*5]/[1*2] = 15 --------------------------------------- 3. What is the probability that we get all 4 females when we choose 4 from the whole group? 15/330 ----------------- 4. What is the probability that we get at least 1 male when we choose 4 from the whole group? P(at least one male) = 1 - P(no male in choosing 4) = 1 - 15/330 = 315/330 ========================= Cheers, Stan H.