Neco 2018 Further Mathematics Question 6

Practice essay / theory question 6 from the 2018 Neco Further Mathematics examination. This question covers Permutations, Combinations, Probability, Circular permutations .

Neco 2018 Further Mathematics Essay / Theory
Topics: Permutations Combinations Probability Circular permutations
Question 6 NECO • 2018 • FURTHER_MATHEMATICS • essay

A school club has eight members: four girls (G₁, G₂, G₃, G₄) and four boys (B₁, B₂, B₃, B₄). The club wishes to form sub‑committees and also arrange a banquet seating.

Question Parts

( a )
In how many ways can a sub‑committee of three members be chosen so that it contains at least one girl?
( b )
The sub‑committee will elect a chairperson.\n(i) What is the probability that a randomly selected sub‑committee of three members contains exactly two girls?\n(ii) Given that the sub‑committee contains exactly two girls, in how many different ways can a chairperson be chosen?
( c )
For a banquet the eight members are to be seated around a circular table. In how many distinct seatings will the four girls sit together as a single block?

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About This Question

This is Neco 2018 Further Mathematics Question 6. It is one of the essay questions from the 2018 Neco Further Mathematics examination.

The question covers Permutations, Combinations, Probability, Circular permutations .

View More Neco 2018 Further Mathematics Questions More Neco Practice Questions Back to Questions

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