Question

In how many ways can a 10-question true-false exam be answered? (Assume that no questions are omitted)

Probability and combinatorics
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asked 2021-05-26
In how many ways can a 10-question true-false exam be answered? (Assume that no questions are omitted)

Answers (1)

2021-05-27
Each question can be answered in 2 ways: true of false. So by the Fundamental Counting Principle, a 10-question true-falce exam can be answered in: \(\displaystyle{2}\cdot{2}\cdot{2}\cdot{2}\cdot{2}\cdot{2}\cdot{2}\cdot{2}\cdot{2}\cdot{2}={2}^{{10}}={1024}\) ways.
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