Question

Use the counting principle to determine the number of elements in the sample space.The possible ways to complete a true-false examination consisting of 29 questions.

Answer 1

There are 2²⁹ possible ways to complete the examination.

Step-by-step explanation:

To use the counting principle we need to identify that we have 29 questions and 2 ways of answering each question true or false. Then, the number of ways to complete the examination will be

2 x 2 x 2 x ... x 2 x 2 = 2²⁹

1st 2nd 3rd 28th 29th

So, we need to multiply 2 by itself 29 times. This is equivalent to 2²⁹.

Therefore, there are 2²⁹ possible ways to complete the examination.