Bounding sum over binomial coefficients
36639
Prove by induction that $\sum_{r=0}^{n}\begin{pmatrix}n \\ r \end{pmatrix}=2^k$
17551
Truncated alternating binomial sum
61270
Binomial Theorem Sum
152845
Every integer is the unique sum of a "decreasing" sequence of binomial coefficients
49783
A possible inequality related to binomial theorem (or, convex/concave functions)
98082
Another combinatorics problem: $\sum\limits_{k = 0}^n (-1)^k \binom{2n-k}k2^{2n-2k}=2n+1$
35381
Sum with binomial coefficients: $\sum_{k=1}^m  \frac{1}{k}{m \choose k} $
13236
Proving equality - a sum including binomial coefficient $\sum_{k=1}^{n}k{n \choose k}2^{n-k}=n3^{n-1}$
112827
Find the sum of the binomial coefficients
108401
Sum of binomial coefficients $\sum_{k=0}^{n}(-1)^k\binom{n}{k}\binom{2n - 2k}{n - 1} = 0$
131468
Summation of Central Binomial Coefficients divided by even powers of $2$
110441
Closed form for a formula with a summation over $i\binom{n-i}{k-1}$, and combinatorial proof?
48434
Prove that $\sum\limits_{k=0}^m\binom{m}k\binom{n}{r+k}=\binom{m+n}{m+r}$ using combinatoric arguments.
104704
Evaluate $\sum\limits_{k=0}^n \binom{n}{k}$ combinatorially
81729
Combinatorial proof of $\sum_{k=0}^{n}(-1)^{k}\binom{n}{k}(l-k)^n=n!$, using inclusion-exclusion
144571
A conjecture including binomial coefficients
137232
Bounds for the Harmonic k-th partial sum.