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Find the number of digits in the number after expansion of 100!

Find the number of digits in the number after expansion of 100!

Grade:Upto college level

1 Answers

askiitianexpert arulmani
6 Points
12 years ago

Big factorials are approximated using Stirling's (approximation) formula,

Using which, 100! ~= (√2∏100)*((100/e)^100) ~= 158 digits

 

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