Mathematics 2018 JAMB Past Questions - Question 9: in the many ways can 6 subject be selected from 10 subject be for an examination?

Correct Answer

D

Explanation

To find the number of ways 6 subjects can be selected from 10 subjects for an examination, we can use the combination formula, which is given by:\[ C(n, r) = \frac{n!}{r!(n-r)!} \]Where \( n \) is the total number of items to choose from, and \( r \) is the number of items to choose.In this case, we want to find the number of ways to choose 6 subjects from 10, so we have:\[ C(10, 6) = \frac{10!}{6!(10-6)!} \]\[ C(10, 6) = \frac{10!}{6!4!} \]\[ C(10, 6) = \frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4!}{6 \times 5 \times 4!} \]\[ C(10, 6) = 10 \times 9 \times 8 \times 7 \]\[ C(10, 6) = 5040 \]So, there are 5040 different ways to select 6 subjects from 10 subjects for the examination.