Multiple choice

In an exam paper, the 1st section contains 10 questions each with 5 choices and the second section contains 5 questions each with 4 choices. In how many different ways can the paper be answered if all the questions are attempted?

  1. $\(4^{10} \times 5^5\)$
  2. $\(5^5 \times 4^2\)$
  3. $\(10^5 \times 5^4\)$
  4. $\(5^{10} \times 4^5\)$
  5. $\(4^{10} \times 10^5\)$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The first section has 10 questions with 5 choices each, giving 5^10 ways to answer. The second section has 5 questions with 4 choices each, giving 4^5 ways to answer. By the fundamental principle of counting, total ways = 5^10 × 4^5. This represents all possible combinations of answers across all questions.

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