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Calculate Permutations and Combinations

Calculate nPr (permutations) and nCr (combinations). How many ways to arrange or choose from a group.

📅 Updated April 2026 Formula verified 📖 4 min read 🆓 Free · No sign-up

Difference

Permutation: order matters। Combination: doesnt। 3 from 10 for posts: P(10,3)=720। 3 from 10 for committee: C(10,3)=120। Lottery 6 from 49: C(49,6)=13,983,816। JEE/NEET: 2-3 questions guaranteed।

JEE

PnC: one of highest-weightage algebra topics। Practice previous year problems।

⚡ CalcWolf Insight

The lottery is the most visible application of combinations. Powerball odds (1 in 292 million) mean: if you bought 100 tickets per week, you would expect to win once every 56,000 years. The expected value of a $2 Powerball ticket is about $0.85 — a 57% loss on every dollar played.

Frequently asked questions
Which when?
Order matters: permutation। Group without order: combination।
JEE weightage?
2-3 questions। High scoring with practice।
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All formulas sourced from primary references — IRS publications, peer-reviewed research, and official standards. Results are tested against independent reference calculators before publishing. Rates and brackets updated when official sources change. Editorial policy →
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