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Calculate the value of the following factorial expression. Write the exact answer. Do not round.110!108!

Question

Calculate the value of the following factorial expression. Write the exact answer. Do not round.110!108!

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Solution

The expression 110! / 108! is a factorial division. The factorial of a number is the product of all positive integers less than or equal to that number.

Here's how you can simplify this:

110! / 108! = (110 * 109 * 108! ) / 108!

The 108! in the numerator and denominator cancel out:

= 110 * 109

So, 110! / 108! = 11990.

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