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Mathematics 8 Online
OpenStudy (anonymous):

evalute 9!/7!

mathslover (mathslover):

Do you know the formula for \(n!\) ?

OpenStudy (solomonzelman):

\[9!= 7! \times 8 \times 9\]

OpenStudy (solomonzelman):

\(\large\color{blue}{ \rm 9! = 1 \times 2 \times3 \times 4 \times5 \times 6 \times7 \times 8 \times 9 }\) \(\large\color{blue}{ \rm 7! = 1 \times 2 \times3 \times 4 \times5 \times 6 \times7 }\) And similarly, \(\large\color{green}{ \bf 6! = 1 \times 2 \times3 \times 4 \times5 \times 6 }\) \(\large\color{red}{ \bf 11! = 1 \times 2 \times3 \times 4 \times5 \times 6\times7 \times 8 \times 9 \times 10 \times 11 }\) \(\large\color{green}{ \bf 3! = 1 \times 2 \times3 }\) (But, \(\large\color{red}{ \bf 0! ~~~and~~~1!~~~= 1 }\) ) \(\large\color{blue}{ \rm 9! = 1 \times 2 \times3 \times 4 \times5 \times 6 \times7 \times 8 \times 9 }\) can be re-written as \(\large\color{blue}{ \rm 9! = (7!)\times 8 \times 9 }\) So what can you cancel out in `9! / 7! ` ??

OpenStudy (anonymous):

would it be 72?

OpenStudy (solomonzelman):

yes, exactly !!!

OpenStudy (anonymous):

yay! thank you :)

OpenStudy (solomonzelman):

Anytime :)

OpenStudy (anonymous):

can you help me with evalute 5! please

OpenStudy (solomonzelman):

Well, you know that \(\large\color{blue}{ \rm 4! = 1\times 2 \times 3 \times 4 }\) We already went over the meaning of this EXCLAMATION MARK. Can you tell me what will \(\large\color{orangered}{ \rm 5! }\) be ?

OpenStudy (anonymous):

4 times 5 right?

OpenStudy (anonymous):

then the answer will be 20?

OpenStudy (solomonzelman):

\(\large\color{blue}{ \rm 5!= 1 \times 2 \times 3\times 4 \times 5 }\)

OpenStudy (anonymous):

120?

OpenStudy (solomonzelman):

yes

OpenStudy (anonymous):

thats the answer?

OpenStudy (anonymous):

nevermind got it thank you!

OpenStudy (solomonzelman):

My :p leasure

OpenStudy (anonymous):

got a 90 on that!

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