Multiple choice

In an objective type examination, 120 objective type questions are there; each with 4 options P, Q, R and S. A candidate can choose either one of these options or can leave the question unanswered. How many different ways exist for answering this question paper?

  1. 5120

  2. 4120

  3. 1205

  4. 1204
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A Correct answer
Explanation

Each of the 120 questions has 5 possible outcomes (P, Q, R, S, or unanswered). Since each question is independent, the total number of ways is 5 * 5 * ... * 5 (120 times), which is 5^120.

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