Multinomial coefficient (ordered partition of distinct objects) (Ways to split n distinct objects into labelled groups of sizes n1,,nk)
jee-mainjee-advanced
Ways to split n distinct objects into labelled groups of sizes n1,…,nk: n!/(n1!…nk!)
What each symbol means
| Symbol | What it stands for |
|---|---|
| n | Total objects |
| n_i | Group sizes (non-negative, sum to n) |
When to use this
n1+…+nk = n; empty groups allowed if n_i=0 permitted (0!=1).