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Combinations count the number of ways to select k items from n items without regard to order. Written as C(n,k) or "n choose k", used in probability and statistics.

공식

C(n,k) = n! / (k! × (n-k)!)

단계별 가이드

  1. 1Enter n (total items) and k (items to select)
  2. 2Calculate factorials n!, k!, and (n-k)!
  3. 3Divide n! by the product of k! and (n-k)!

풀어진 예시

입력
C(5,2)
결과
10
5! / (2! × 3!) = 120 / 12 = 10

피해야 할 일반적인 실수

  • Confusing combinations with permutations
  • Incorrect factorial calculations

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