Number of ways of dividing n different things into 3 groups

No of ways of dividing (m+n+p) things into 3 groups containing m,n, p things respectively is given by the formula

\[\frac{(m+n+p)!}{m!n!p!}\]

Example 

No of ways of distruting 9 things into 3 groups where these 3 groups contains 3 ,2  and 4 elements repectively is given by\[\frac{(9)!}{2!3!4!}\]=1260

Boundary condition \[m\neq n\neq p\]

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