CAIE A-Level Mathematics A2 5.2.1 Permutations and Combinations Questions
Practise counting arrangements and selections using permutations, combinations and restrictions.
- Syllabus
- 2028–2030
- Course
- Mathematics 9709
- Level
- A2
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 A2 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?
The valid committee compositions are:
(46)(14)+(36)(24)+(26)(34)=60+120+60=240.
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