Question 360140: In how many ways can a committee of 5 senators be selected from the 100 members of the U.S. Senate so that no two committee members are from the same state?
Answer by sudhanshu_kmr(1152)   (Show Source):
You can put this solution on YOUR website!
As there are 50 states and 2 senators from each states, total 100.
according to question, from each state at most 1 senator can be selected.
so, firstly we choose 5 states from which we have to select senators.
no. of ways to choose 5 states from total 50 states = 50C5
now, from each state we can choose senator in 2 ways.
total no. of ways to choose 5 senator from given 5 particular states = 2^5 = 32
so, total no. of ways to select 5 senators = 50C5 * 32
= 2118760 * 32
= 67800320
ANSWER IS: 67800320.
It is possible that some typing mistake in solution of a problem, if any please ignore it. Understand the concept and try to solve the problem yourself. If there is problem related to concept, contact at
sudhanshu.cochin@yahoo.com or sudhanshu.cochin@gmail.com
Best of luck.......
|
|
|
