Theorems · Theorem · combinatorics
Nat.multinomial_univ_three
∀ (a b c : ℕ), Nat.multinomial Finset.univ ![a, b, c] = (a + b + c).factorial / (a.factorial * b.factorial * c.factorial)
- Defined in
- Mathlib.Data.Nat.Choose.Multinomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.univstatement and proof · cited by 3,473
- Finset.prodproof · cited by 2,356
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- Nat.factorialstatement and proof · cited by 616
- Nat.multinomialstatement · cited by 34
- Fin.sum_univ_threeproof · cited by 7
- Fin.prod_univ_threeproof · cited by 4
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