nCm=n!/(n-m)!m!
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nCm=n!/(n-m)!m!
It's the amount of combinations you can pick out m out of n
Used in probability calculus.
They explain the chances of winning the lottery.. :D
http://lottery.merseyworld.com/Info/Chances.html
According to your defination, suppose I would like to seek the combinations between 1 - 10; I use this?
10C1=10!/9!1!
whereas
10 is the answer?
Only 10 combinations in 1 - 10? I don't think so.
What's Wrong with that ???
When you say 10C1
you are asking how many different numbers can I pick from a set of 10 numbers if i pick 1 number at a time ?
More Literally...
If you have 10 friends and you want to meet them 1 at a time
how many different friends can you meet ??
The answer is 10.
Lets take 10C2
If You have 10 friends and you want to meet 2 of them together at a time how many different combinations of friends can you meet ??
Answer = 10!/[(10-2)! * 2!] = 10!/(8! * 2)
= (10 * 9 * 8!)/(8! * 2)
= 90/2 = 45
So you can meet 45 combinations of friends if you meet 2 of them at a time.