Neco 2023 Further Mathematics Question 6

Practice essay / theory question 6 from the 2023 Neco Further Mathematics examination. This question covers Permutations and Combinations, Probability .

Neco 2023 Further Mathematics Essay / Theory
Topics: Permutations and Combinations Probability
Question 6 NECO • 2023 • FURTHER_MATHEMATICS • essay

A school science club has 12 members: 5 boys and 7 girls. A committee of 4 members is to be formed subject to the following conditions: (i) at least two girls must be on the committee, (ii) the chairperson must be a boy, and (iii) the secretary must be a girl.

Question Parts

( a )
How many different committees can be formed satisfying all the above conditions?
( b )
If the committee is formed randomly, what is the probability that the chairperson is the oldest boy in the club?

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About This Question

This is Neco 2023 Further Mathematics Question 6. It is one of the essay questions from the 2023 Neco Further Mathematics examination.

The question covers Permutations and Combinations, Probability .

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