Mathematics · JEE

Hard The fundamental principle of counting MCQs for JEE

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Hard The fundamental principle of counting MCQs train multi-concept problem solving — attempt after mastering easy and medium sets (8+ on Goodmarks).

Push your limits with hard The fundamental principle of counting MCQs designed for JEE Advanced-level thinking. 8+ questions with detailed solutions.

Syllabus context

Part of Permutations and Combinations in JEE Main Mathematics.

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Q1MathsUnit 4: Permutations and Combinations
How many outcomes are possible when a coin is tossed
Q2MathsUnit 4: Permutations and Combinations
In how many ways is it possible to choose a white square and a black square on a chessboards, so that the squares must not lie in the same row or column?
Q3MathsUnit 4: Permutations and Combinations
In a crossword puzzle, 20 words are to be guessed of which 8 words have each an alternative solution also. The number of possible solutions will be
Q4MathsUnit 4: Permutations and Combinations
4 normal distinguishable dice are rolled once. The number of possible outcomes in which at least one dice shows up 2?
Q5MathsUnit 4: Permutations and Combinations
How many 3 digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8 where digits may be repeated?
Q6MathsUnit 4: Permutations and Combinations
The number of two-digit numbers which are of the form xyx y with y<xy<x are given by
Q7MathsUnit 4: Permutations and Combinations
Assertion The possible dimension of a matrix consisting 27 elements is 4 Reason The number of ways of expressing 27 as a product of two positive integers is 4
Q8MathsUnit 4: Permutations and Combinations
Two dice are thrown. The number of sample points in the sample space when six does not appear on any one side is

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When should I attempt hard The fundamental principle of counting MCQs?

After 70%+ accuracy on medium MCQs and once core formulas are automatic.