Question

2. A multiple-choice test contains 10 questions. There are four possible answers for each question lo how many ways can a student answer the questions on the test if the student answers every question? the test if the studest

Answer 1

The number of ways are 1,048,576.

Explanation:

Consider the provided information.

Product rule: If one event occurs in n contexts and the second event occurs in m contexts, then the number of ways in which the two events happen is n×m.

There are 10 questions and each question has 4 choices.

Therefore, for first question we have 4 choices, for second question we have 4 choices similarly for 10th question we have 4 choices which can be represented as:

4×4×4×4×4×4×4×4×4×4 =
`4^(10)`

4×4×4×4×4×4×4×4×4×4 = 1048576

Thus, the number of ways are 1,048,576.