Question

10freshman 8 sophmores 7 junioe and 8 seniors are eligible to be on a commitee. in how many ways can a dance committee of 15students be chosen? in how many ways can a damce committee be chosen if it is to consist of 4freshman 6sophmores 3 juniors and 2 seniors?

lewUIK 2.3 This assignment is past the original due date of Tue 0 Due 10 freshmen, 8 sophomores, 7 juniors, and 8 seniors are eligible to be on a committee. In how many ways can a dance committee of 15 students be chosen? In how many ways can a dance committee be chosen if it is to consist of 4 freshmen, 6 sophomores, 3 juniors, and 2 seniors. Points possible 5 This is attempt 1 of 3 TO Submit

Answer 1

Ther are total (18+8+7+8)= 33 Student. 15 student from 33 student can be choosen in 33cis ways. from 10 freshman 4 freshmen choosen in locq ways. Foreach closce of freshman there are 8c ways we choose 6 sophomeres. Therefore total number is locaxice. For each of locax & Cu ways there are Acq ways we can choose . 3 uniors. . .: total sumber after choosing Yunior is R 10 cot & CG X 763 for each of aisare choices there are 8 ways We can choose Senior.. Honce total number is 10 cq x&q **C; X 82