Mathematics · JEE

Online Practice: The fundamental principle of counting for JEE

8+ syllabus-aligned questions available

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Sharpen your mathematics preparation with interactive online practice for The fundamental principle of counting. Goodmarks offers 8+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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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How do I practice The fundamental principle of counting online for JEE?

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How many The fundamental principle of counting questions are available?

Goodmarks currently has 8+ JEE-aligned MCQs for The fundamental principle of counting, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including The fundamental principle of counting.

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Every question includes the correct answer and a step-by-step explanation. Free users can practise a random mix; Pro unlocks full subject and topic filters.