A test contains 3 different sections, each section has 5 questions. Minimum 2 questions need to be attempted from each section in such a way that total of 8 questions are attempted. In how many ways a student appearing in the test can attempt the 8 questions?

Answer Choices

Correct answer marked below

36000

6435

6300

4635

4500

Correct

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Explanation

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Official Explanation

Official

Combinations possible: 2,2,4 or 2,3,3

Case 1: Choosing which one gets to select 4 - 3 ways

5_C_2 * 5_C_2 * 5_C_4 * 3 = 10 * 10 * 5 * 3 = 1500

Case 2: Choosing which one gets to select 2 - 3 ways…

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What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.