SOLUTION: A panel of 5 politicians is to be chosen from a group of 15 politicians
a) In how many ways can the panel be chosen?
Now suppose that the group of politicians consists of 8 De
Algebra.Com
Question 684501: A panel of 5 politicians is to be chosen from a group of 15 politicians
a) In how many ways can the panel be chosen?
Now suppose that the group of politicians consists of 8 Democrats, 4 Republicans, and 3 Independents. In how many ways can the panel of 5 politicians be chosen if the panel must consist of 2 Democrats, 2 Republicans, and 1 Independent?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A panel of 5 politicians is to be chosen from a group of 15 politicians
a) In how many ways can the panel be chosen?
Ans: 15C5 = (15*14*13*12*11)/(1*2*3*4*5) = 3003
-------
Now suppose that the group of politicians consists of 8 Democrats, 4 Republicans, and 3 Independents.
In how many ways can the panel of 5 politicians be chosen if the panel must consist of 2 Democrats, 2 Republicans, and 1 Independent?
-
Ans: 8C2*4C2*3C1 = 28*6*3 = 504 ways
=================
Cheers,
Stan H.
===================
RELATED QUESTIONS
9. (12 pts) An advisory panel of 5 students is to be chosen from a group of 12 student... (answered by stanbon)
In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a... (answered by solver91311)
In how many different ways can a panel of 12 jurors and 2 alternate jurors be chosen from (answered by stanbon)
In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a... (answered by edjones)
In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a... (answered by scott8148)
In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a... (answered by KMST)
In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a... (answered by Alan3354)
In how many different ways can a panel of 12 jurors and 2 alternate jurors be chosen from (answered by Alan3354)
in how many ways can a panel of 12 jurors and 2 alternates be chosen from a group of 27... (answered by stanbon)