**Prove or disprove**:

If \(3p\) distinct elements are divided equally among three persons, then the number of divisions is \(\dfrac{(3p)!}{(p!)^3}\).

**Prove or disprove**:

If \(3p\) distinct elements are divided equally among three persons, then the number of divisions is \(\dfrac{(3p)!}{(p!)^3}\).

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