Question

In a multiple-choice question paper of 15 questions, the answers can be A, B, C or D. The number of different ways of answering the question paper are ________

(a) 65536 x 4^7

(b) 194536 x 4^5

(c) 23650 x 4^9

(d) 11287435

I have been asked this question in an interview for job.

This intriguing question comes from Fundamental Principle of Counting in division Counting of Discrete Mathematics

Answer 1

Correct option is (a) 65536 x 4^7

The explanation is: There are 4^15 = 65536 x 4^7 different ways of answering the exam paper of 15 MCQs.