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@dontre
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this is for you\[\Huge C(7,4)= > \frac{7!}{4!3!}=>\frac{7 \times 6 \times 5 }{3 \times 2}\]
so I only do two numbers down on top?
did u get the step i missed? leme do it properly \[\Large C(7,4) = \frac{7!}{4!3!}= \frac{7 \times 6 \times 5 \times \cancel{4!}}{\cancel{4!} 3!}\]
property used : \[\Huge n! = n(n-1)!\]
I think I see it
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\[\Huge C(N,R) = \frac{N!}{R! (N-R)!}\] \[\Huge C(7,4) = \frac{7!}{4! 3!} = \frac{ 7 \times 6 \times 5 \times 4!}{4! 3!}\]
extending the property i stated earlier, n!=n(n-1)! n!=n(n-1)(n-2)!...etc
what if its two problems together...for instance...āCā/āCā
same procedure
solve both nd divide them
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\[\Huge C(n,1) = n\] always
7
and 7C4 we just solved :)
35/7 = 5
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