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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.
מדריך שלב אחר שלב
- 10! = 1 (by definition)
- 21! = 1, 2! = 2, 3! = 6, 4! = 24, 5! = 120
- 3n! = n × (n-1)!
- 4C(n,k) = n! / (k! × (n-k)!) — factorials underlie combination formulas
Worked Examples
קלט
5!
תוצאה
120
5×4×3×2×1 = 120
קלט
10!
תוצאה
3,628,800
About 3.6 million
קלט
20!
תוצאה
2.43 × 10¹⁸
Over 2 quintillion
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