Question

As the teacher determines the number questions on her upcoming AMDM quiz, she decides that she will give a 20-question quiz. This quiz will have 4 true-false questions and 16 multiple-choice questions. Each multiple-choice question has four possible choices (A, B, C, and D). How many different ways are there to answer the quiz? options:

26
512
64
8

Answer 1

Answer: 68,719,476,736 different ways to answer the quiz.

Explanation:

We have 20 questions.

4 of them, have two options (true and false)

and 16 of them have 4 options (a, b, c and d.)

The total number of different ways of answering this quiz is equal to the product of the number of options for each case, then we have:

Combinations = (2^4)*(4^16) = 68,719,476,736 different ways to answer the quiz.