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Grade Upto college levelAlgebra

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

Profile image of sudarshan gupta
16 Years agoGrade Upto college level
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Profile image of askiitianexpert arulmani
16 Years ago

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

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