The number of ways in which m n different items can be divided equally int m groups, each containing n objects and the order of the groups is important,is: ( m n ) ! ( n ! ) m 1 m ! ∗ ( m ! )

Question

The number of ways in which   m  n different items can be divided equally int   m groups, each containing   n objects and the order of the groups is important,is:             (      m      n      )      !              (      n      !              )        m                  1          m      !        ∗  (  m  !  )

Layla Love · Accepted Answer

Try to adapt the explanation above to see how to obtain this formula; note that a simpler way of writing it is just as             (      m      n      )      !              (      n      !              )        m            , since the two   m  ! will cancel out.

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