Mathematics 2007 JAMB Past Questions - Question 9: In how may ways can 6 subjects be selected from 10 subjects for an examination ?

Correct Answer

D

Explanation

No of ways sup10Csub6 = 10x9x8x7x6x5 / 6x5x4x3x2x1 = 210To determine the number of ways to select 6 subjects from a pool of 10 subjects, we can use the combination formula.The number of ways to choose r objects from a set of n objects is given by the combination formula:C(n, r) = n! / (r!(n-r)!)In this case, we want to choose 6 subjects from a pool of 10 subjects, so we can calculate it as:C(10, 6) = 10! / (6!(10-6)!)          = 10! / (6!4!)          = (10 * 9 * 8 * 7 * 6!) / (6! * 4 * 3 * 2 * 1)          = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)          = 210Therefore, there are 210 ways to select 6 subjects from a pool of 10 subjects for the examination.