evalute 9!/7!
Do you know the formula for \(n!\) ?
\[9!= 7! \times 8 \times 9\]
\(\large\color{blue}{ \rm 9! = 1 \times 2 \times3 \times 4 \times5 \times 6 \times7 \times 8 \times 9 }\) \(\large\color{blue}{ \rm 7! = 1 \times 2 \times3 \times 4 \times5 \times 6 \times7 }\) 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! ` ??
would it be 72?
yes, exactly !!!
yay! thank you :)
Anytime :)
can you help me with evalute 5! please
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 ?
4 times 5 right?
then the answer will be 20?
\(\large\color{blue}{ \rm 5!= 1 \times 2 \times 3\times 4 \times 5 }\)
120?
yes
thats the answer?
nevermind got it thank you!
My :p leasure
got a 90 on that!
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