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Question

Question: Each of 5 questions in a multiple choice questions test has four alternatives. The number of differe...

Each of 5 questions in a multiple choice questions test has four alternatives. The number of different sets of possible answers, when exactly one of the four alternatives is correct, is

A

45 – 4

B

54

C

45

D

54 – 1

Answer

45

Explanation

Solution

Since each question can be answered in exactly four ways, therefore, the required number of possible sets of answers.

= 4 x 4 x 4 x 4 x 4 = 45