Find no of Set of Unique Combination

Question

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.

I am not sure I understand the question. Can you edit to specify what the 5 sets are for the 5A, 3B, 2C case. — Marconius, Nov 14 '15 at 12:05

score 0 · Answer 1 · answered Nov 14 '15 at 11:33

0

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.

answered Nov 14 '15 at 11:33

Archis Welankar

15,910

Note the answer is for a pair. – Archis Welankar Nov 14 '15 at 11:34
no the ans should be 5. – Riddhikusal Datta Nov 14 '15 at 11:43
I am not getting your logic. – Archis Welankar Nov 14 '15 at 11:58
Can you ellaborate more on this. – Archis Welankar Nov 14 '15 at 11:58

Find no of Set of Unique Combination

1 Answers1