Question

A quiz consists of 3 true-or-false questions and 2 multiple choice questions. The multiple choice questions have 3 options each

How many ways can a student complete the quiz?
~18
~48
~54
~72

Answer 1

D. 72

Explanation:

Use permutation to answer this question taking notice of the order.

The quiz has 3 true/false questions. This means are there 2 possible ways to answer the true/false question hence 2³

The quiz also has 2 multiple choice questions that have 3 option each. This means 3²

The number of possible ways to complete the quiz will be;

2³ × 3² = 8×9 =72