Question

A true-false test contains 25 questions. In how many different ways can this test be completed? (Assume we don't care about our scores.)

This test can be completed in different ways

Answer 1

The number of different ways to complete a 25-question true-false test is 2 to the power of 25, as each of the 25 questions has 2 possible outcomes.

Step-by-step explanation:

A true-false test containing 25 questions can be completed in many different ways. Each question has two possible answers: True or False. Therefore, for each question there are 2 possibilities, and since the questions are independent of each other, the number of different ways to complete the test is 225. This is because you multiply the number of options for each question (2) by itself for as many times as there are questions (25), which is 2 x 2 x 2 x ... (25 times) or 2 to the power of 25.