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Question

What is a factorial of 0?


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Solution

Meaning of factorial:

  • Factorial is the product of positive numbers, each number is one less than the preceding number.
  • Factorial is denoted by !
  • n!=n×(n-1)×(n-2)×(n-3).......3×2×1
  • The factorial of zero is 1, symbolically represented as 0!=1
  • Crn=n!r!×(n-r)!Putr=nCnn=n!n!×(n-n)!=10![Cnn=1]1=10!0!=1

Hence, the value of factorial 0 is 1.


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