Question

A multiple-choice test contains 11 questions. There are four possible answers for each question. In how many ways can a student answer the questions on the test if the student can leave answers blank

Answer 1

`Ways = 48828125`

Explanation:

Given

`Questions = 11`

`Options = 4`

Required

Determine the number of ways

If the student can leave answers blank, the the options become:

`Options = 4 + 1`

`Options = 5`

The student can pick any of the 5 available options in each of the 11 questions.

Hence:

`Ways = 5^(11)`

`Ways = 48828125`