SOLUTION: Respected Sir, Please help me to simplify this question : At an election there are 5 candidate and 3 members are to be elected. A voter is entitled to vote for any number of cand

Algebra ->  Permutations -> SOLUTION: Respected Sir, Please help me to simplify this question : At an election there are 5 candidate and 3 members are to be elected. A voter is entitled to vote for any number of cand      Log On


   

Question 486757: Respected Sir,
Please help me to simplify this question :
At an election there are 5 candidate and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote is
The answer given Is : 25

Please help me to simplify
Thank You

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

A voter can give either 1 vote, 2 votes or 3 votes.
Number of ways to give only 1 vote = 5C1 = 5

Number of ways to give only 2 vote = 5C2 = 10

Number of ways to give all 3 vote = 5C3 = 10
so, a voter can cast his vote by total : 5+10+10= 25 ways.

if any doubt, u r welcome to contact....
http://www.algebra.com/tutors/aboutme.mpl?userid=sudhanshu_kmr