Permutation & Combination Calculator
Calculate nPr (permutations), nCr (combinations), and n! (factorial) with step-by-step working.
Permutation & Combination Calculator
Permutations vs Combinations
Factorial Calculator (n!)
Permutation & Combination Calculator का उपयोग कैसे करें
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Enter n (total items) and r (items to choose/arrange).
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View nPr, nCr, and n! calculated simultaneously.
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Read the step-by-step working below for each calculation.
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Use the separate Factorial Calculator section for computing n! alone.
Permutation & Combination Calculator के बारे में
The Permutation and Combination Calculator computes nPr (permutations), nCr (combinations), and factorial (n!) simultaneously, with a clear step-by-step breakdown of each calculation. Essential for probability, statistics, and combinatorics problems.
Permutations vs Combinations
Permutations (nPr): Order matters. How many ways can you arrange r items from n? Formula: n! ÷ (n−r)!. Example: How many ways can 3 people finish 1st, 2nd, 3rd in a race of 10? = 10P3 = 720.
Combinations (nCr): Order doesn't matter. How many ways can you choose r items from n? Formula: n! ÷ (r! × (n−r)!). Example: How many 3-person committees from 10 people? = 10C3 = 120.
Factorial Calculator
The separate factorial calculator handles values from 0 to 10,000 using logarithm approximations for very large numbers, with exact BigInt results for n ≤ 20.