the braces (I believe they're called, could be a funky bracket) is stating the variables. There are n options and x outcomes. So in our pizza analogy, there are n- pizza toppings and x - pizza's that can be made from said toppings.
the nCx is stating the same thing. That's not math, that's setting up variables. Basically, what you saying is that whatever number n is, its factorial divided by the factorial difference of n-x times x is the coefficient of expansion as N increases.
So if you have 4 possible toppings but end up with only 2 good pizzas you can see that 4*3*2*1 --------- (2*1)(2*1)
reduces to 24/4 reduces to 6. You can also say n choose x or 4 choose 2.
Comments 5
So this is like a pizza (go with me here okay)
the braces (I believe they're called, could be a funky bracket) is stating the variables. There are n options and x outcomes. So in our pizza analogy, there are n- pizza toppings and x - pizza's that can be made from said toppings.
the nCx is stating the same thing. That's not math, that's setting up variables.
Basically, what you saying is that whatever number n is, its factorial divided by the factorial difference of n-x times x is the coefficient of expansion as N increases.
So if you have 4 possible toppings but end up with only 2 good pizzas you can see that
4*3*2*1
---------
(2*1)(2*1)
reduces to
24/4
reduces to
6.
You can also say n choose x or 4 choose 2.
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I'll give it a shot in a while and see if I can get it to work in the problems I have to work on.
Thank you!
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:-P
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(Nice explanation by the way, notation used in statistical analysis can be hard to interpret).
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