MATHEMATICS

JAMB 2013 - Question 47

Mathematics 2013 JAMB Past Questions - Question 47: In how many ways can a student select 2 subjects from 5 subject?

In how many ways can a student select 2 subjects from 5 subject?
A:
B:
C:
D:
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Correct Answer

A

Explanation

To determine the number of ways a student can select 2 subjects from a set of 5 subjects, we can use the concept of combinations.The number of ways to select 2 subjects from 5 subjects can be calculated using the formula for combinations, which is given by:C(n, r) = n! / (r!(n-r)!)Where n is the total number of subjects and r is the number of subjects to be selected.In this case, we have n = 5 (total number of subjects) and r = 2 (number of subjects to be selected).Plugging these values into the formula, we get:C(5, 2) = 5! / (2!(5-2)!)Calculating the factorial terms:5! = 5 * 4 * 3 * 2 * 1 = 1202! = 2 * 1 = 2(5-2)! = 3! = 3 * 2 * 1 = 6Substituting these values into the formula:C(5, 2) = 120 / (2 * 6) = 120 / 12 = 10Therefore, there are 10 ways for a student to select 2 subjects from a set of 5 subjects.