I need a formula for following problem. We have 3 objects A B and C. We can create a set of two distinct object (eg. AB AC BA order doesn't matter). Now we have 5 A objects, 3 B objects, 2 C objects. Then how many set can we have?
Ans: 5 Sets
One More Example: A: 2 B: 2 C: 2
Ans: 3 Sets
I need a general formula to implement it in a software, where it will take 3 parameter
No of A: X
No of B: Y
No of C: Z
and give the output.
The number of sets will be $10!/5!.3!.2!$ sets as we have 5 A objects 3B objects and 2 C objects.Hope this helps you.