To determine voters' feelings regarding an issue, a candidate asks a sample of people to pick 5 words out of a set of 6 words that they feel best describe the issue. How many different groupings of 5 words are possible?
A)121
B)30
C)7,776
D)720
E)6

Question

To determine voters' feelings regarding an issue, a candidate asks a sample of people to pick 5 words out of a set of 6 words that they feel best describe the issue. How many different groupings of 5 words are possible? ​
A)121
B)30
C)7,776
D)720
E)6

Quizplus · Accepted Answer

Since there are 6 words and each person has to choose 5 out of those, it's essentially the same as excluding 1 word out of 6. This can be done in 6 different ways, hence the answer is 6.

To Determine Voters' Feelings Regarding an Issue, a Candidate Asks