Question

A test consists of 6 multiple choice questions in which the first 3 questions have 3 possible answers and the last 3 questions have 2 possible answers. If only 1 answer can be selected per question, how many ways can the student choose answers to the questions?

Answer 1

Given that,

There are 6 questions in total out of which

3 questions have 3 choices so each of these question can be answered in 3 ways and since each question is independent of each other so number of ways of answering first three is 3×3×3 = 27

Similarly for the last 3 questions the number of ways =2×2× 2= 8
Hence total number of ways in which a student can choose the answer s = 27 × 8 = 216

So, Required answer is 216