Question

You are going to take a 10-question True/False test. How many ways can this test be answered if leaving questions blank is a viable option for each question?

Answer 1

There are 59,049 different ways of answering the exam.

Explanation:

The first thing we need to count is the total number of selections, then we need to count the number of options for each one of these selections. The total number of combinations will be equal to the product between all the numbers of options.

Here, the selections are each one of the 10 questions, so we have 10 selections.

And each one of these selections has 3 options (true, false, blank)

So, we have 10 selections with 3 options each, then the total number of combinations will be:

C = 3*3*3*3*3*3*3*3*3*3 = 3^10

C = 59,049

There are 59,049 different ways of answering the exam.