Mathematics · JEE

The fundamental principle of counting Concepts for JEE

8+ syllabus-aligned questions available

Quick answer

Master The fundamental principle of counting by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for The fundamental principle of counting before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

The fundamental principle of counting is a core JEE Main Mathematics subtopic under Permutations and Combinations. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of The fundamental principle of counting in the JEE syllabus
Memorise key formulas and standard results linked to The fundamental principle of counting
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise The fundamental principle of counting with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to The fundamental principle of counting and reattempt after 48 hours

Common trap

Students often rush The fundamental principle of counting questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Permutations and Combinations in JEE Main Mathematics.

Free sample questions

Attempt 8 free MCQs for The fundamental principle of counting. Unlock the full bank with Pro.

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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 concepts in The fundamental principle of counting are essential for JEE?

Focus on core ideas across The fundamental principle of counting. JEE tests application, not just memorisation.