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OpenStudy (anonymous):
Whenever we are given nCx, we can rewrite this as
\[\frac{ n! }{ (n-x)!x! }\]
In your scenario, we can rewrite 10C7 as
\[\frac{ 10! }{ (10-7)!7! } \rightarrow \frac{ 10! }{ 3!7! }\]
If you are allowed to use a calculator, you can simply plug in those numbers and the factorial symbols (!) to get your answer.
OpenStudy (mckenzieandjesus):
what are the !?
OpenStudy (alexandervonhumboldt2):
! is the factorial sign
OpenStudy (mckenzieandjesus):
how would i do 7^C4?
OpenStudy (anonymous):
The factorial means that you multiply the number by each number proceeding it by 1.
In other words
3!= (3)(2)(1)
5!=(5)(4)(3)(2)(1)
For your second question -- Think about it :) Use the equation I gave you! If you get stuck let me know and I'll direct you further.
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OpenStudy (mckenzieandjesus):
i got 35
OpenStudy (anonymous):
So did I :)
OpenStudy (mckenzieandjesus):
ok :) thanks
OpenStudy (anonymous):
You are welcome!
OpenStudy (mckenzieandjesus):
for 6^P4 i getting 15 but its not on my answer choices