Mathematics · JEE

Important Questions: The fundamental principle of counting for JEE

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The most important The fundamental principle of counting questions for JEE cover conceptual traps, standard results, and numerical patterns from The fundamental principle of counting. Goodmarks provides 8+ high-yield MCQs with full solutions.

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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

x y

with

y<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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Frequently asked questions

What makes a The fundamental principle of counting question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Permutations and Combinations are high-weightage?

Key areas include The fundamental principle of counting. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

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Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.