SOLUTION: In how many ways can a MathSci Committee of 5 be formed from 7 Math lovers and 5 Science lovers if the committee must have 3 Math lovers?

Algebra ->  Permutations -> SOLUTION: In how many ways can a MathSci Committee of 5 be formed from 7 Math lovers and 5 Science lovers if the committee must have 3 Math lovers?       Log On


   

Question 1178117: In how many ways can a MathSci Committee of 5 be formed from 7 Math lovers and 5 Science lovers if the committee must have 3 Math lovers?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
12 People: 7 ML  and 5 SL
Committee of 5: Must have 3 Math Lovers.:
Committee of 5
Ways: (7C3)(5C2)
If that were to  mean Must have 3 Math Lovers 'at least'
Ways: (7C3)(5C2) + (7C4)(5C1) + (7C5)(5C0)
Wish You the Best in your Studies.