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.Com
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) (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
RELATED QUESTIONS
A committe consists of 12 Republicans and 19 Democrats. How many different subcomittees... (answered by Boreal)
A city council consists of six Democrats and five Republicans. If a committee of six... (answered by Boreal)
A committe consists of 10 Republicans and 16 Democrats. How many different sumbcomittees... (answered by ewatrrr)
A committe consists of 11 Republicans and 17 Democrats. How many different... (answered by mathmate)
a city council consists of seven democrats and six republicans. if a committee of six... (answered by robertb)
A town meeting consists of 8 democrats, 6 republicans and 4 independents.
Suppose the... (answered by stanbon)
A COMMITTE OF 5 MEMBERS IS FORMED FROM A FROUP OF 10 REPUBLICANS AND 8 DEMOCRATS.
A)... (answered by stanbon)
A committee of 4 people is randomly selected from a group of 5 Republicans and 6... (answered by ewatrrr)
A committee is formed by selecting 4 members from a group of 10 Republicans and 8... (answered by stanbon)