Question

in a multiple choice test there are 10 questions. each question has 5 choices how many ways can they complete the test no two consecutive answers

Answer 1

1310720

Explanation:

Given,

Total number of questions = 10,

Number of choices = 5,

If there are no two consecutive answers,

That is, if we have options a, b, c, d and e for each question,

Then, a could not be the answer of two consecutive questions,

We could pick 1 out of 5 answers for the first question and then for the remaining 9 questions we have only have 4 choices,

Hence, the total number of ways = 5 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4

`=5* 4^9`

`=1310720`