Question

Using the counting principle to determine the number of elements in the sample spaceThe possible ways to complete a true-false exam consisting of 21 questions

Answer 1

Given:

Number of ways, n = 21

Let's use counting principle to determine the number of elements in the sample space.

Given that we have a true-false question here, there are two possible outcomes to a true-false question.

Here, we are given 21 questions.

The counting principle states that for a scenario, the sequence for events which are independent is:

a1, a2, a3, a4, ..., an

For the number of ways the events can occur, wehave:

`a^n=a_1*a_2*a_3*a_4*a_5......*a_n`

Given that a true-false question has out possible outcomes and we have 21 questions, the possible ways will be:

`2^n=2^(21)=2097152`

Therefore, there are 2097152 ways to