Sultan Qaboos University Foundation & Aptitude Test · Mathematics Reasoning

Counting and Probability

15 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 15 questions

  1. In how many ways can a president, a secretary and a treasurer be chosen from 7 members if no one can hold two posts?
  2. A committee of 4 people is to be chosen from 8 volunteers. How many different committees are possible?
  3. How many different arrangements of all the letters of the word LETTER are there?
  4. A team has 4 men and 4 women. In how many ways can a group of 1 men and 1 women be chosen?
  5. A team has 7 men and 6 women. In how many ways can a group of 2 men and 2 women be chosen?
  6. A committee of 3 people is to be chosen from 10 volunteers. How many different committees are possible?
  7. A committee of 3 people is to be chosen from 9 volunteers. How many different committees are possible?
  8. A team has 6 men and 6 women. In how many ways can a group of 1 men and 2 women be chosen?
  9. A committee of 3 people is to be chosen from 6 volunteers. How many different committees are possible?
  10. A team has 5 men and 6 women. In how many ways can a group of 1 men and 1 women be chosen?
  11. A box has 3 red and 3 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?
  12. A box has 4 red and 4 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?
  13. 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?
  14. A box has 4 red and 5 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?
  15. A box has 5 red and 5 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?

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