closed form expression for the sum of the first s items of alternating binomial coefficients
17551
Truncated alternating binomial sum
81729
Combinatorial proof of $\sum_{k=0}^{n}(-1)^{k}\binom{n}{k}(l-k)^n=n!$, using inclusion-exclusion
103347
combinatorial proof of summation
7083
Alternating sum of binomial coefficients: given $n \in \mathbb N$, prove $\sum^n_{k=0}(-1)^k {n \choose k} = 0$
108401
Sum of binomial coefficients $\sum_{k=0}^{n}(-1)^k\binom{n}{k}\binom{2n - 2k}{n - 1} = 0$
129801
Finding a closed form for $\sum^{n}_{k=1} \frac{k}{(k+1)!} $
94060
Sum of square binomial coefficients
56828
A combinatorial proof that the alternating sum of binomial coefficients is zero
5332
Find the value of $\sum_0^n \binom{n}{k} (-1)^k \frac{1}{k+1}$
36361
How to calculate the summation $(\sum_{p = k}^{n} \binom{n}{p}) / 2^n$ quickly?
116461
Prove the identity $\sum_{k=0}^{n}(-1)^{k}\binom{n}{k}=0$ using a combinatorial interpretation of the positive and negative terms
101573
Subtracting even and odd binomial coefficients?
91239
Sum of binomial coefficients involving $n,p,q,r$
32260
Alternating Sum of Cubes
94784
$\sum_{k=-m}^{n} \binom{m+k}{r} \binom{n-k}{s} =\binom{m+n+1}{r+s+1}$ using Counting argument
17638
Sum with binomial coefficients: $\sum_{k=0}^{n}{2n\choose 2k}$
65983
Combinatorial proof of binomial coefficient summation identity