Verified Solution • 2025–26 Session moderate

QJEEM20Ma3396: JEE Main 2020 Mathematics - Class 11 JEEM20Ma3396 Solution: A test consists of 6 multiple choice questions, each having 4…

A test consists of 6 multiple choice questions, each having 4 alternative answers of which only one is correct. The number of ways, in which a candidate answers all six questions such that exactly four of the answers are correct, is __________.

Step-by-Step Verified Solution

Select any 4 questions in 6C4 ways which are correct.

Answering right option for each question is possible in 1 way.

So ways of choosing right option for 4 questions = 1.1.1.1 = (1)4

Number of ways of choosing wrong option for each question = 3

So ways of choosing wrong option for 2 questions = (3)2

∴\therefore Required number of ways = 6C4.(1)4.(3)2 = 135

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