A committee of 4 people is to be chosen from 8 volunteers. How many different committees are possible?
Answer and explanation
Correct answer: D. 70
- Step 1: Order does not matter, so use combinations: .
- Step 2: .
Answer
70.
Why not the others: 1680: order is counted although a committee has no order. 32: the numbers are multiplied.
Practise more Counting and Probability.
Free questions with an explanation for every one, and full timed General Education Diploma (GED Oman) mock tests.
More Counting and Probability questions
- A committee of 3 people is to be chosen from 9 volunteers. How many different committees are possible?
- In how many ways can a president, a secretary and a treasurer be chosen from 6 members if no one can hold two posts?
- A team has 6 men and 6 women. In how many ways can a group of 2 men and 1 women be chosen?
- In how many ways can a president, a secretary and a treasurer be chosen from 8 members if no one can hold two posts?
- A box has 4 red and 3 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?
- A box has 5 red and 6 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?