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Mathematics 16 Online
OpenStudy (dls):

@dontre

OpenStudy (dls):

this is for you\[\Huge C(7,4)= > \frac{7!}{4!3!}=>\frac{7 \times 6 \times 5 }{3 \times 2}\]

OpenStudy (anonymous):

so I only do two numbers down on top?

OpenStudy (dls):

did u get the step i missed? leme do it properly \[\Large C(7,4) = \frac{7!}{4!3!}= \frac{7 \times 6 \times 5 \times \cancel{4!}}{\cancel{4!} 3!}\]

OpenStudy (dls):

property used : \[\Huge n! = n(n-1)!\]

OpenStudy (anonymous):

I think I see it

OpenStudy (dls):

\[\Huge C(N,R) = \frac{N!}{R! (N-R)!}\] \[\Huge C(7,4) = \frac{7!}{4! 3!} = \frac{ 7 \times 6 \times 5 \times 4!}{4! 3!}\]

OpenStudy (dls):

extending the property i stated earlier, n!=n(n-1)! n!=n(n-1)(n-2)!...etc

OpenStudy (anonymous):

what if its two problems together...for instance...₇Cā‚„/₇C₁

OpenStudy (dls):

same procedure

OpenStudy (dls):

solve both nd divide them

OpenStudy (dls):

\[\Huge C(n,1) = n\] always

OpenStudy (anonymous):

7

OpenStudy (dls):

and 7C4 we just solved :)

OpenStudy (dls):

35/7 = 5

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