SOLUTION: A group of 15 activities (7 Democrats, 6 Republicans, and 2 Independents) form a committee. The committee is to have 6 members on it with 2 representatives from each party. AFter
Algebra.Com
Question 712748: A group of 15 activities (7 Democrats, 6 Republicans, and 2 Independents) form a committee. The committee is to have 6 members on it with 2 representatives from each party. AFter the committee has been formed they will appoint a President, Vice President, and a Secretary. How many different committees can be formed?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A group of 15 activists (7 Democrats, 6 Republicans, and 2 Independents) form a committee. The committee is to have 6 members on it with 2 representatives from each party. AFter the committee has been formed they will appoint a President, Vice President, and a Secretary. How many different committees can be formed?
-----
Pick 2 Dems: 7C2 = 21 ways
Pick 2 Reps: 6C2 = 15 ways
Pick 2 Inds: 2C2 = 1 way
-----
# of possible committees: 21*15*1 = 315
=======================================
Cheers,
Stan H.
=======================================
RELATED QUESTIONS
A committee at of 5 is to be formed from a group consisting of 7 Democrats, 6... (answered by solver91311)
A town meeting consists of 8 democrats, 6 republicans and 4 independents.
Suppose the... (answered by stanbon)
A committee of 4 people is randomly selected from a group of 5 Republicans and 6... (answered by ewatrrr)
The senate in a certain state is comprised of 57 republicans, 41 democrats and 2... (answered by stanbon)
The senate in a certain state is comprised of 59 republicans, 39 democrats, and 2... (answered by stanbon)
the senate in a certain state is comprised of 60 republicans 36 democrats and 4... (answered by oscargut)
The Senate in a certain state is comprised of 55 ​Republicans, 41 ​Democrats, and 4... (answered by Boreal)
A city council consists of 10 members. Four are Republicans, three are Democrats, and... (answered by Boreal)
A political discussion group consists of 5 Democrats, 6 Republicans, and 4 Independents. (answered by stanbon)