Question

Find out the number of different ways of dividing $mn$ things into $n$ equal groups.


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Answer 1

Hope this solution will help you

Answer 2

Answer:

Step-by-step explanation:

total things =  mn

number of groups =n

number of things in each group  = m

first arrange mn things in a row

number of such arrangements  [mn]!

now take first m things to  first group

               next m things  to next group  

do this  upto last m things to nth group

now consider the first group

it contains m things  

they may be arranged different ways before group formed

that means  m! arrangements of first group change nothing

so

numbers of ways to form  =[mn]!/[m!]^n