Have to do a factorial problem in my head
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Have to do a factorial problem in my head

[From: ] [author: ] [Date: 12-10-13] [Hit: ]
any ideas on how to fix this?It is a TI-83 Plus-Its easier than it looks.102! = 102*101*100!102!/100!......
the problem is 102! divided by 100!
I have no idea how to do this without a calculator. Help?
Oh and my calculator wont do any factorial higher than 50!, any ideas on how to fix this?
It is a TI-83 Plus

-
It's easier than it looks.

Since
102! = 102*101*100!
then
102!/100! = 102*101 = 102*(100+1) = 10200 + 102 = 10302

Yep, that easy!

-
102 * 101 = (100 + 2) * (100 + 1) = 10,000 + 300 + 2 = 10,302

It's pretty easy enough, you could also do:

102 * 100 = 10,200
--> then you need one more 102 --> add 102

10,302

...the other way would be to do 101 * 100 = 10,100 then you need two more 101s --> add 202 to get 10,302
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