Algebra II : Multiplying and Dividing Factorials

Study concepts, example questions & explanations for Algebra II

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Example Questions

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Example Question #73 : Factorials

Try without a calculator.

Which expression is equal to  ?

Possible Answers:

None of these

Correct answer:

Explanation:

 - or  factorial - is defined to be the product of the integers from 1 to . Therefore,

and

Therefore, 

is equal to 

All of the factors from 1 to 999 can be canceled out in both numerator and denominator, so the expression is equal to

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