Mathematics · JEE

The fundamental principle of counting Previous Year Questions for JEE

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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

Why practise PYQs for The fundamental principle of counting?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for The fundamental principle of counting, covering the same topics as previous year papers.

How should I use PYQs for Permutations and Combinations?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.