# SOLUTION: I am really lost with this concept: Factorial expressions Find the value of the following: {{{(11! 12!)/(8!10!)}}} If your answer is not an integer, write it as an exact

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: I am really lost with this concept: Factorial expressions Find the value of the following: {{{(11! 12!)/(8!10!)}}} If your answer is not an integer, write it as an exact       Log On

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 Question 548996: I am really lost with this concept: Factorial expressions Find the value of the following: If your answer is not an integer, write it as an exact fraction.Found 2 solutions by Alan3354, mathie123:Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!Factorial expressions Find the value of the following: 11! 12! ------- 8! 10! ------------- 11!/10! = 11, so cancel those = 11*12!/8! ----------- 12!/8! = 12*11*10*9 --- = 11*12*11*10*9 = 130680 Answer by mathie123(224)   (Show Source): You can put this solution on YOUR website!We know that n!=n*(n-1)*(n-2)*...*2*1 So we can expand to get: Now... looking at the expression above... can anything divide out (i.e. get rid of any number that appears in the numerator and denominator). This leaves: Now this expression can be calculated as an integer on your calculator... I will leave that for you to do . Obviously if we had large numbers... it wouldn't be a good idea to write out the whole factorial, but you may be able to see some patterns once you do some examples... (try to find them) Hopefully this helps a bit... let me know if you are still unsure