First slide

Combinations

Question

At an election, a voter may vote for any number of candidates not greater than the number to be chosen. There are 10 candidates and 5 members to be selected. The number of ways of in which a voter can vote is:

Moderate

A

630
B

635
C

637
D

639

Solution

The voter has to vote for at least one and at most 5 candidates. The number of ways is:
$^{10} C_{1} +^{10} C_{2} +^{10} C_{3} +^{10} C_{4} +^{10} C_{5} = 637$

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