Cambridge A-Level · Mathematics

Permutations and combinations

13 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 13 questions

  1. In how many ways can a committee of be chosen from people?
  2. In how many ways can a committee of be chosen from people?
  3. In how many ways can a committee of be chosen from people?
  4. In how many ways can a committee of be chosen from people?
  5. In how many ways can a committee of be chosen from people?
  6. A committee of is chosen from men (including Alan) and women (including Beth). The committee must include at least women, and Alan and Beth must not both be on it. How many different c…
  7. In how many ways can a committee of be chosen from people?
  8. How many different arrangements of distinct books are possible on a shelf?
  9. How many different arrangements of distinct books are possible on a shelf?
  10. How many different arrangements of distinct books are possible on a shelf?
  11. In how many ways can a committee of be chosen from people?
  12. In how many ways can a committee of be chosen from people?
  13. In how many ways can a committee of be chosen from people?

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