Express the given product or quotient as a factorial expression. Assume that n > r > 0.

1 answer:

maks197457 [2]3 years ago

3 0

1.) (n+1)n! = (n+1)!


2.) (n+8)!/n+8 = (n+8)!/(n+8)
 = (n+8)*(n+8-1)! / (n+8) = ((n+8)*(n+7)!) / (n+8)
 Cancel out the (n+8)
 = (n +7)!


3.) 100 x 99 x 98 = (100 x 99 x 98 x 97!) / (97!) = (100!) / (97!).

4. (n-1)(n-2)(n-3) = ((n-1)(n-2)(n-3)(n-4)!) /(n-4)!
 = (n-1)! / (n-4)!.

Cheers. That's it.

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Question:

Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stopped to see how much farther he has to go. If Yan made eight stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan and climbed?

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