Question

There are 10 multiple choice questions in an examination. first 4 have 5 choices each and remaining have 4 choices each. how many sequences of answers are possible?

Answer 1

Explanation:

Answer 2

2560000 sequences of answers are possible.

Explanation

Total number of questions = 10

First 4 questions have 5 choices each and remaining (10-4)= 6 questions have 4 choices each.

So, the possible sequences of answers for first 4 questions
`= 5^4 = 625`

and the possible sequences of answers for remaining 6 questions
`= 4^6=4096`

Thus, the total possible number of sequences of answers = (625 × 4096) = 2560000