SOLUTION: A company has 20 employees, 12 male and 8 female. How many ways are there to form a 5 person committee that contains at least one male and at least one female?

Question 427603: A company has 20 employees, 12 male and 8 female. How many ways are there to form a 5 person committee that contains at least one male and at least one female?

Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!

no. of ways to select 5 out of 20 without any restriction = 20C5
no. of ways to select 5 male out of 12 , not any female = 12C5
no. of ways to select 5 female out of 8, not any male = 8C5

total number of ways when at least one male and one female = 20C5 - 12C5 - 8C5
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