SOLUTION: a class has 10 boys and 12 girls. in how many ways can a committee of four be selected if the committee can have at most two girls?

Algebra.Com
Question 852217: a class has 10 boys and 12 girls. in how many ways can a committee of four be selected if the committee can have at most two girls?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
   

        C(12,0)C(10,4)+C(12,1)C(10,3)+C(12,2)C(10,2) =

        (1)(210)+(12)(120)+(66)(45) = 210+1440+2904 = 4554

Answeer: 4554 ways

Edwin

RELATED QUESTIONS

There are 5 boys and 4 girls in a class. A committee of 5 is to be selected such that... (answered by edjones)
There are 5 boys and 6 girls on a grad committee In how many ways can a sub-committee... (answered by venugopalramana)
A student club consists of 8 guys and 12 girls. A committee of 8 is to be selected. In... (answered by Edwin McCravy)
Mrs. Grasso’s eleventh-grade class has 12 boys and 14 girls. In how many ways can at... (answered by sudhanshu_kmr)
Q15 In how many ways can we distribute seven apple and six oranges among 4 children so... (answered by lynnlo)
A class consists of 12 boys and 15 girls. How many different committees of four can be... (answered by Edwin McCravy)
A class has 8 boys and 4 girls. A committee of 3 has to be chosen. In how many ways can... (answered by ewatrrr)
A class consists of 12 boys and 15 girls. How many different committees of four can be... (answered by ikleyn)
A class has 8 boys and 4 girls. A committee of 3 has to be chosen. In how many ways can... (answered by ewatrrr)