Question

There are six multiple-choice questions on an exam, each with four possible answers. (a) Determine the number of possible answer sequences for the six questions.

Answer 1

`Possible\ Answers = 4096`

Explanation:

Given

`Questions = 6`

`Options = 4` each

Required

Determine the number of possible answers

The first question has 4 possible answers

The second has 4 possible answers

The third has 4 possible answers

The fourth question has 4 possible answers

The fifth has 4 possible answers

The sixth question has 4 possible answers

`Possible\ Answers = 4 * 4 * 4 * 4 * 4 * 4`

`Possible\ Answers = 4^6`

`Possible\ Answers = 4096`