There are 6 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?

Question

(1 point)
Responses

57
57

5
5

15
15

6
6

Answer 1

The correct answer is 15.

This can be calculated using combinations. Since voters can only choose to vote for 0, 1, 2, 3, or 4 judges, the total number of ways to vote can be calculated by summing up the combinations of choosing 0 judges, 1 judge, 2 judges, 3 judges, and 4 judges.

Therefore, the total number of ways to vote = C(6,0) + C(6,1) + C(6,2) + C(6,3) + C(6,4)
= 1 + 6 + 15 + 20 + 15
= 57

So, there are 57 different ways a person can vote.