There are 8 people on the ballot for regional judges Voters

There are 8 people on the ballot for regional judges. Voters can vote for any 4. Voters can choose to vote for 0¸ 1¸ 2¸ 3¸ or 4 judges. In how many different ways can a person vote?

A. 5

B. 56

C. 70

D. 163

Solution

Number of different ways :

= 8 C 0 + 8 C 1 + 8 C 2 + 8 C 3 + 8 C 4

=> 1 + 8 + 28 + 56 + 70

= 163

Option D is the answer.