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jimthompson5910 (jim_thompson5910):
use the formula
n C r = (n!)/(r!*(n-r)!)
in this case, you're plugging in n = 6 and r = 4
jimthompson5910 (jim_thompson5910):
Doing so will give you this
n C r = (n!)/(r!(n-r)!)
6 C 4 = (6!)/(4!*(6-4)!)
6 C 4 = (6!)/(4!*2!)
6 C 4 = (6*5*4!)/(4!*2!)
6 C 4 = (6*5)/(2!)
6 C 4 = (6*5)/(2*1)
I'll let you finish
OpenStudy (anonymous):
so the answer is 15. but I dont understand the excalmation point? and where you got
6 C 4 = (6*5*4!)/(4!*2!) the 5 and four next to the 6? and then you didnt multiply 4*2? i dont understand
OpenStudy (anonymous):
Its a combination. Hope you know that.
jimthompson5910 (jim_thompson5910):
something like 6! means 6*5*4*3*2*1
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OpenStudy (anonymous):
! is a factorial symobol
jimthompson5910 (jim_thompson5910):
you multiply all the positive integers less than that value til you reach 1
jimthompson5910 (jim_thompson5910):
another example: 9! = 9*8*7*6*5*4*3*2*1
jimthompson5910 (jim_thompson5910):
the reason why I stopped at 4! is because there's a 4! already in the denominator
so the two copies of 4! will cancel
jimthompson5910 (jim_thompson5910):
and you cannot say 2*4! = 8
this is because 4! isn't just 4, it's really 4*3*2*1 = 24
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