Question

Assume the test had 6 true-false questions and 10 multiple-choice questions, and that each multiple-choice question had 5 choices.

How many different answer sheets can be submitted?

Answer 1

The number of ways of answering the 6 true-false questions is 2^6.
The number of ways of answering the 10 multiple-choice questions is 5^10.
Each way of answering the true-false questions can be combined with each of the 5^10 ways of answering the multiple-choice questions. Therefore the number of different answer sheets that can be submitted is
\[2^{6}\times 5^{10}\]

Answer 2

Thank you!

Answer 3

You're welcome :)