SOLUTION: Suppose the group consists of 8 Democrats and 5 Republicans. If a committee of 3 is formed, find: a. The number of different committees b. The number of different committees tha

Algebra ->  Permutations -> SOLUTION: Suppose the group consists of 8 Democrats and 5 Republicans. If a committee of 3 is formed, find: a. The number of different committees b. The number of different committees tha      Log On


   

Question 412543: Suppose the group consists of 8 Democrats and 5 Republicans. If a committee of 3 is formed, find:
a. The number of different committees
b. The number of different committees that have at least one Democrat.
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

a) no. of ways to select 3 from 13 = 13C3 = 286

b) no. of ways to select 3 that have no Democrat (only republicans) = 5C3 = 10
no. of different committees that have at least one Democrat = 286- 10 = 276