SOLUTION: In a local high school, from a group of 18 students comprised of 10 singers and 8 actors, a 5-person executive council is selected. Find how many committees are possible that have

Algebra ->  Permutations -> SOLUTION: In a local high school, from a group of 18 students comprised of 10 singers and 8 actors, a 5-person executive council is selected. Find how many committees are possible that have      Log On


   

Question 1209389: In a local high school, from a group of 18 students comprised of 10 singers and 8 actors, a 5-person executive council is selected. Find how many committees are possible that have at most 2 singers.
I used (10C2)(8C3)=2520 to account for the case in which there is 2 singers and 3 actors
Than I used (8C4)(10C1)=700 to account for the case in which there is 1 singer and 4 actors
Then I used just 8C5=56 to account for the case in which there is 5 actors
Then I added them all together 2520+700+56=3276 which gives me 3276 total combinations
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

In your solution, everything is correct.

My congratulations - a perfect job !