First time here? Checkout the FAQ!
0 votes
The number of ways in which mn different object can be divided equally into m groups,each containing n objects,Please Explain
asked in Combinatory by Junior (647 points)   | 65 views

1 Answer

+1 vote

I think this will work:

$\frac{\binom{mn}{n}*\binom{mn-n}{n} *\binom{mn-2n}{n}*...}{m!}$


Try taking balls B1 B2 B3 B4 and distribute them into 2 groups/partitions with each group containing 2 balls.


Simplified formula here

answered by Veteran (14.9k points)  
edited by
@sushant can you explain why divide by m. I understood to numerator part, but divide by m???
They arent like 'm' distinct groups.

So, consider the balls example I gave above.

Case 1: I choose B1, B2 firstly and B3, B4 in the last choose.

Case 2: I chose B3, B4 firstly and then B1, B2 in the last case.

So, I counted twice the same partitionning, right?


Sorry, the denominator must be m!
Yes now answer is corect.

Related questions

0 votes
2 answers
asked ago in Combinatory by Arnabi Boss (5.8k points)   | 36 views

Top Users Apr 2017
  1. akash.dinkar12

    3752 Points

  2. Divya Bharti

    2618 Points

  3. Deepthi_ts

    2162 Points

  4. rude

    1966 Points

  5. Tesla!

    1768 Points

  6. Sanjay Sharma

    1646 Points

  7. Debashish Deka

    1614 Points

  8. Shubham Sharma 2

    1610 Points

  9. Prashant.

    1554 Points

  10. Kapil

    1528 Points

Monthly Topper: Rs. 500 gift card

22,100 questions
28,082 answers
24,203 users