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CAIE A-Level Mathematics AS 5.2.1 Permutations and Combinations Questions

Practise counting arrangements and selections using permutations, combinations and restrictions.

Syllabus
2028–2030
Course
Mathematics 9709
Level
AS

Exam points

  • calculate permutations and combinations
  • count arrangements and selections with repetition or restrictions
  • model committee and team-selection problems using counting principles

CAIE A-Level Mathematics AS 5.2.1 Permutations and Combinations Questions question 1

[Maximum number: 4]

A new village social club has 10 members of whom 6 are men and 4 are women. The club committee will consist of 5 members.

In how many ways can the committee of 5 members be chosen if it must include at least 2 men and at least 1 woman?

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