Does this identity with binomial coefficients have a combinatorial interpretation?
133905
Intuitive proof of $\sum_{k=1}^{n} \binom{n}{k} k^{k-1} (n-k)^{n-k} = n^n$
122024
Asymptotic of a sum involving binomial coefficients
118372
Combination proof for $n(n+1)2^{n-2}=\sum_{k=1}^{n}k^2\binom{n}{k}$
92440
Let $n \in \mathbb{Z}^+$, prove the identity $ \sum_{k=1}^{n-1} \binom {n} {k} \frac{kn^{n-k}}{k+1}=\frac{n(n^{n}-1)}{n+1}$
56828
A combinatorial proof that the alternating sum of binomial coefficients is zero
44484
Combinatorial identity $i{n \choose i } =n {n-1 \choose i - 1}$
109599
A finite sum involving the binomial coefficients and the harmonic numbers
67927
Combinatorial argument for the identity $k\binom{n}{k} = n\binom{n-1}{k-1}$
98082
Another combinatorics problem: $\sum\limits_{k = 0}^n (-1)^k \binom{2n-k}k2^{2n-2k}=2n+1$
21000
Calculating $\sum_{k=1}^nk(k!)$ combinatorially
66019
Revisited: Binomial Theorem: An Inductive Proof
22948
Is this binomial coefficient identity known?
25004
Proving $\binom{m}{n} + \binom{m}{n-1} = \binom{m+1}{n}$ algebraically
81729
Combinatorial proof of $\sum_{k=0}^{n}(-1)^{k}\binom{n}{k}(l-k)^n=n!$, using inclusion-exclusion
108688
An identity involving products of sums
103504
Weird $3^n$ in an identity to be combinatorially proved
61483
Prove the following identity combinatorially