Mathematics 2008 JAMB Past Questions - Question 48: find the number of ways of selecting 6 out of 10 subject for an examination

Correct Answer

D

Explanation

10C6 = 210The number of ways of selecting 6 out of 10 subjects for an examination can be calculated using the combination formula.The formula for combinations is given by:C(n, r) = n! / (r!(n-r)!)Where n is the total number of items and r is the number of items to be selected.In this case, we have n = 10 (total number of subjects) and r = 6 (number of subjects to be selected).Using the combination formula, we can calculate the number of ways as follows:C(10, 6) = 10! / (6!(10-6)!)C(10, 6) = 10! / (6! * 4!)C(10, 6) = (10 * 9 * 8 * 7 * 6!) / (6! * 4!)C(10, 6) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 6) = 210Therefore, there are 210 ways of selecting 6 out of 10 subjects for the examination.