Multiple choice

In an examination, question paper consists of $20$ multiple choice questions having $4$ choices each. In how many ways can a student answer?

  1. ${20}^4$
  2. $4^{20}$
  3. $80$
  4. $24$
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B Correct answer
Explanation

Each of the 20 questions has 4 independent choices. The total number of ways to answer is 4 * 4 * ... (20 times) = 4^20.

AI explanation

The examination has 20 questions and each question offers 4 independent choices. Using the multiplication principle of counting, the total number of ways to answer the paper is calculated by multiplying the choices for each question. Therefore, the total number of ways is 4 multiplied by itself 20 times, which is 4^20.

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