At an election there are 5 candidates 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. In how many ways a voter can vote?

Voters can select their members in 10possible ways

Step-by-step explanation:

According to the question, the voters are to elect 3members out of 5 candidates, this means they are to select any 3 candidates of their choice from a pool of 5 candidates. Since "combination" has to do with selection, we use the combination formula.

To select 'r' objects from 'n' pool of objects, we have;

nCr = n! / (n-r) ! r!

5C3 = 5! / (5-3) !3!

5C3 = 5!/2!3!

5C3 = 5*4*3*2*1/2*3*2

= 120/12

5C3 = 10

Candidates can therefore vote in 10 possible ways