Mathematics Practice Test – Permutation and Combination (Questions with Answers and Explanations)

Hello and Welcome to Mathematics Practice Test – Permutation and Combination

1. You are to attempt 5 random objectives questions ONLY.
2. Supply Your Full Name and Location in the text box below and begin immediately.
3. You can attempt as many times as possible
1.

Find the number of ways the letters of the word COMMITTEE can be permuted. (JAMB 2017)

A. 9!      B. $\dpi{110}\frac{9!}{2!2!2!}$      C. $\dpi{110}\frac{9!}{2!2!}$      D. $\dpi{110}\frac{9!}{2!}$

2.

In how many ways can five students and 3 lecturers be seated at a round table if all the lecturers do not sit together? (JAMB 2022)

A. 5040 ways
B. 720 ways
C. 4320 ways
D. 120 ways

3.

In how many ways can 9 people be seated if 3 chairs are available? (JAMB 2010)

A. 720
B. 504
C. 336
D. 210

4.

A committee of six is to be formed by a state governor from nine state commissioners and three members of the state house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of assembly? (JAMB 2004)

A. 378 ways
B. 462 ways
C. 840 ways
D. 924 ways

5.

In how many ways can a delegation of 3 be chosen from 5 men and 3 women if at least 1 man and 1 woman must be included? (JAMB 2009)

A. 15
B. 28
C. 30
D. 45

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