A student must select 2 subjects from the following 5 options: Commerce, Economics, Statistics, Mathematics 1, and Mathematics 2. Note that Mathematics 2 can only be chosen if Mathematics 1 is also selected. How many different pairs of subjects can the student choose?

Choose the correct answer

Explanation

First, consider the number of pairs that do not include Mathematics 2. There are 4 subjects excluding Mathematics 2, so the number of ways to select 2 from these 4 is 4C2 = 6. Next, if Mathematics 2 is chosen, Mathematics 1 must also be selected, resulting in exactly 1 valid pair: (Mathematics 1, Mathematics 2). Adding these together, the total number of valid combinations is 6 + 1 = 7.

A student must select 2 subjects from the following … — Permutations and Combinations | PakQuizHub