Neco 2017 Further Mathematics Question 6

Practice essay / theory question 6 from the 2017 Neco Further Mathematics examination. This question covers Permutations, Combinations, Counting principles, Probability .

Neco 2017 Further Mathematics Essay / Theory
Topics: Permutations Combinations Counting principles Probability
Question 6 NECO • 2017 • FURTHER_MATHEMATICS • essay

Eight students (A, B, C, D, E, F, G, H) and four teachers (T1, T2, T3, T4) are to form a committee of five members. The committee must contain exactly two teachers and three students. In addition, student A and teacher T1 are not allowed to serve on the committee together.

Question Parts

( a )
How many different committees satisfy the above conditions?
( b )
If the committee formed is to elect a chairperson and the chairperson must be a teacher, how many possible ways can the committee and the chairperson be chosen?

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About This Question

This is Neco 2017 Further Mathematics Question 6. It is one of the essay questions from the 2017 Neco Further Mathematics examination.

The question covers Permutations, Combinations, Counting principles, Probability .

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