A committee of 3 people is to be chosen from 8 volunteers. How many different committees are possible?
Answer and explanation
Correct answer: B. 56
- Step 1: Order does not matter, so use combinations: .
- Step 2: .
Answer
56.
Why not the others: 336: order is counted although a committee has no order. 24: the numbers are multiplied.
Practise more Counting and Probability.
Free questions with an explanation for every one, and full timed EJU Japan mock tests.
More Counting and Probability questions
- A committee of 4 people is to be chosen from 11 volunteers. How many different committees are possible?
- A committee of 4 people is to be chosen from 7 volunteers. How many different committees are possible?
- How many 3-digit even numbers can be made from the digits 0, 1, 2, 3, 4 if no digit is used twice?
- A committee of 3 people is to be chosen from 12 volunteers. How many different committees are possible?
- A team has 4 men and 5 women. In how many ways can a group of 2 men and 2 women be chosen?
- A committee of 4 people is to be chosen from 6 volunteers. How many different committees are possible?