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

A senatorial candidate has planned to visit seven cities prior to a primary election. However, he could only visit four out of the seven cities. How many different itineraries could be considered? (JAMB 2007)

A. 520
B. 640
C. 720
D. 840

In how many ways can a committee of 3 be selected from 5 men and 3 women, if at least one man and at least one woman must be included? (JAMB 2020)

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

Find the number of ways of selecting 6 out of 10 subjects for an examination. (JAMB 2008)

A. 218
B. 216
C. 215
D. 210

In how many ways can 10 people be arranged in a row such that 2 particular persons should always be together? (JAMB 2022)

A. 9! x 2!
B. 8! x 2!
C. 10! x 2!
D. 12!

How many words beginning with T and ending with E can be made (without any letter being repeated) out of the letters of the word TRIANGLE? (JAMB 2021)

A. 1440
B. 720
C. 866
D. 24