Quick Reference Guide

Permutations & Combinations Cheat Sheet

Aptitude
Advanced Level

Permutations & Combinations Cheat Sheet

1 Downloads
23 Views
1 Pages
May 27, 2026

About This Cheat Sheet

Complete guide to Permutations and Combinations for competitive exams: fundamental principle of counting (addition and multiplication principles), definition of factorial (n!), permutation formula (nPr = n!/(n-r)!), combination formula (nCr = n!/[r!(n-r)!]), relationship between permutations and combinations (nPr = nCr × r!), permutations with repetitions, permutations with identical objects (n!/(p!q!r!)), circular permutations (n-1)!, number of diagonals in polygon using combinations, number of handshakes problems, selection of teams or committees, problems on forming numbers with digits (with or without repetition), problems on arranging letters of a word (with or without vowels together), problems on selection from mixed groups, distribution of identical objects, and shortcut tricks for SSC, Banking, Railway, UPSC, and other government exams.

Topics Covered

permutations combinations quantitative-aptitude npr ncr factorial circular-permutations competitive-exams ssc banking railway

Download Cheat Sheet

Click the button below to download this high-resolution PNG cheat sheet.

Download PNG (1.5 MB)

Preview

Permutations & Combinations Cheat Sheet Preview
Click to enlarge