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Mathematics · JEE

Simple applications Concepts for JEE

24+ syllabus-aligned questions available

Quick answer

Master Simple applications by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Simple applications before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Simple applications 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 Simple applications in the JEE syllabus
  • Memorise key formulas and standard results linked to Simple applications
  • Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

  • Revise Simple applications with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to Simple applications and reattempt after 48 hours

Common trap

Students often rush Simple applications 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 Simple applications. Unlock 16+ more with Pro.

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Q1MathsUnit 4: Permutations and Combinations
The total number of ways of formation of five letter words from the letters of the word INDEPENDENT,I N D E P E N D E N T, is
Q2MathsUnit 4: Permutations and Combinations
There are 4 balls of different colours &4\& 4 boxes of colours same as those of the balls. The number of ways in which the balls, one in each box, could be placed such that exactly no ball go to the box of its own colour is:
Q3MathsUnit 4: Permutations and Combinations
All the five digit numbers that can be formed using the digits 1,2,3,4,5 without repetition, are arranged in the decreasing order of magnitude. The rank of the number 34215 is
Q4MathsUnit 4: Permutations and Combinations
7 boys and 8 girls have to sit in a row on 15 chairs numbered from 1 to 15 then?
Q5MathsUnit 4: Permutations and Combinations
Find the correct co-related number. 5:36::6:?\mathbf{5}: \mathbf{3 6}:: \mathbf{6}: ?
Q6MathsUnit 4: Permutations and Combinations
Assertion In the shop there are five types of ice- creams available, a child buys six ice- creams. Reason The number of different ways the child can buy the six ice-creams is 10C3^{10} C_{3}
Q7MathsUnit 4: Permutations and Combinations
A 5 digit number divisible by 3 is to be formed using the numerals 0,1,2,3,4 \& 5 without repetition. The total number of ways this can be done is
Q8MathsUnit 4: Permutations and Combinations
Given: 20!18!=380\frac{20 !}{18 !}=380

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Frequently asked questions

What concepts in Simple applications are essential for JEE?

Focus on core ideas across Simple applications. JEE tests application, not just memorisation.

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