SOLUTION: A class has 24 students, 17 girls and 7 boys. A team of 6 needs to be formed. How many ways can the team have two or more boys?

Question 1032438: A class has 24 students, 17 girls and 7 boys. A team of 6 needs to be formed. How many ways can the team have two or more boys?
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!

(Number of teams of 6 without regard to gender) 
minus
(Number of all-girl teams)
minus
(Number of all 5-girl, 1 boy teams)
=
(24 students choose 6)
minus
(17 girls choose 6)
minus
(17 girls choose 5)*(7 boys choose 1) 
=
24C6 - 17C6 - (17C5)*(7C1)

134596 - 12376 - 6188*7 = 78904

Edwin

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