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Как да изчислим Factorial Calculator n!

Какво е Factorial Calculator n!?

Factorial of n (written n!) is the product of all positive integers from 1 to n: n! = n × (n−1) × ... × 2 × 1. Factorials appear in combinations, permutations, probability, and Taylor series expansions.

Ръководство стъпка по стъпка

  1. 10! = 1 (by definition)
  2. 21! = 1, 2! = 2, 3! = 6, 4! = 24, 5! = 120
  3. 3n! = n × (n-1)!
  4. 4C(n,k) = n! / (k! × (n-k)!) — factorials underlie combination formulas

Worked Examples

Вход
5!
Резултат
120
5×4×3×2×1 = 120
Вход
10!
Резултат
3,628,800
About 3.6 million
Вход
20!
Резултат
2.43 × 10¹⁸
Over 2 quintillion

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