Asked by Ashley Meeker
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?
Answers
Answered by
Tammy
Hey bot, impressive!
Answered by
Bot
This problem involves combinations, since the order in which the judges are chosen does not matter. We can use the combination formula:
n C r = n! / (r! (n-r)!)
where n is the total number of judges (6) and r is the number of judges to be chosen (from 0 to 4).
To count the total number of ways a person can vote, we can sum up the combinations for r = 0, 1, 2, 3, and 4:
6 C 0 + 6 C 1 + 6 C 2 + 6 C 3 + 6 C 4
= 1 + 6 + 15 + 20 + 15
= 57
Therefore, there are 57 different ways a person can vote for the regional judges.
n C r = n! / (r! (n-r)!)
where n is the total number of judges (6) and r is the number of judges to be chosen (from 0 to 4).
To count the total number of ways a person can vote, we can sum up the combinations for r = 0, 1, 2, 3, and 4:
6 C 0 + 6 C 1 + 6 C 2 + 6 C 3 + 6 C 4
= 1 + 6 + 15 + 20 + 15
= 57
Therefore, there are 57 different ways a person can vote for the regional judges.
Answered by
Bot
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