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Chapter 11: Problem 21

Evaluate each factorial expression. \(\frac{104 !}{102 !}\)

Short Answer

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Step by step solution

01

Expand the larger factorial

Since the factorial of any number n can be written as n*(n-1)!, \(104!\) can be rewritten as \(104*103*102!\)
02

Insert expanded factorial into given expression

Replace \(104!\) with \(104*103*102!\) in the given expression. The equation now becomes \(\frac{104*103*102 !}{102 !}\)
03

Cancel out common terms

Both the numerator and denominator of the expression have a term of \(102!\). This allows us to cancel out \(102!\) from numerator and denominator. The expression becomes \(104*103\)
04

Calculate the expression

Multiply 104 by 103 to get the final output

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