Neco 2022 Further Mathematics Question 6

Practice essay / theory question 6 from the 2022 Neco Further Mathematics examination. This question covers Permutations, Combinations, Counting principles .

Neco 2022 Further Mathematics Essay / Theory
Topics: Permutations Combinations Counting principles
Question 6 NECO • 2022 • FURTHER_MATHEMATICS • essay

A club has eight members: four males (M₁, M₂, M₃, M₄) and four females (F₁, F₂, F₃, F₄). A sub‑committee of five members is to be formed under the following conditions: - The sub‑committee must contain at least two males and at least one female. - The chairperson must be a male and the secretary must be a female. How many distinct ways can the sub‑committee be formed together with the appointment of the chairperson and secretary?

Question Parts

( a )
Determine the total number of possible selections of the sub‑committee together with the designated chairperson and secretary that satisfy all the given conditions.

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This is Neco 2022 Further Mathematics Question 6. It is one of the essay questions from the 2022 Neco Further Mathematics examination.

The question covers Permutations, Combinations, Counting principles .

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