Mathematics

Permutations and combinations for JEE Main & Advanced — counting without double counting

How P&C underpins probability and some algebra arrangements on both papers.

On JEE Main

Main tests permutations with repetition, combinations with constraints, circular arrangements, and distribution problems in single-correct MCQ format. Identical-vs-distinct object encoding decides most wrong answers.

On JEE Advanced

Advanced uses inclusion-exclusion in multi-correct formats and integer-type problems combining circular arrangements with forbidden adjacency conditions. Encoding cases explicitly before multiplying is essential — advanced problems have 4-6 sub-cases each.

How to practise

Use PracticeJEE's Permutations and Combinations topic sets for mixed constraint problems.

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Open Practice, choose Mathematics, then select this chapter in the topic list.

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