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순열 및 조합 계산기

BigInt 정밀도로 P(n,k)와 C(n,k)를 계산합니다.

소개

Permutation & Combination — P(n,k) and C(n,k) with BigInt precision. Enter n, k to get an instant, accurate result.

공식

Permutations: n!/(n−k)!. Combinations: n!/(k!(n−k)!).

단계별 안내

  1. Enter the n.
  2. Enter the k.
  3. Click Calculate to see your result instantly.

실제 예시

Example: With n = 10, k = 3, the Permutation & Combination gives Permutations: 720, Combinations: 120.

자주 묻는 질문

What's the difference between permutations and combinations?
Permutations count arrangements where order matters; combinations count selections where order does not.
What if k is larger than n?
That's not a valid selection — k can't exceed n.
What inputs does the Permutation & Combination need?
You'll need to provide: n, k. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Permutation & Combination?
The Permutation & Combination applies the formula exactly as calculated — Permutations: n!/(n−k)!. Combinations: n!/(k!(n−k)!). — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Permutation & Combination free to use?
Yes, the Permutation & Combination is completely free, requires no signup, and runs instantly in your browser.

순열 및 조합 계산기 소개

The Permutation & Combination uses a real, verifiable formula — Permutations: n!/(n−k)!. Combinations: n!/(k!(n−k)!). — so results are accurate every time, not an approximation.