Tricky question about binomial expansions.
7083
Alternating sum of binomial coefficients: given $n \in \mathbb N$, prove $\sum^n_{k=0}(-1)^k {n \choose k} = 0$
81643
Proof that the hypergeometric distribution with large $N$ approaches the binomial distribution.
145091
EM with Binomial
108401
Sum of binomial coefficients $\sum_{k=0}^{n}(-1)^k\binom{n}{k}\binom{2n - 2k}{n - 1} = 0$
43066
Finding value of $S-T$ in $2$ binomial sum.
20009
Relationship between binomial and negative binomial distributions (how to extend the probability space?)
59638
How to prove this result on binomial coefficients?
10875
proof of binomial identity involving double sum
47052
How can I simplify this expression involving binomial coefficients?
77754
Given that $X \sim \operatorname{Binomial}(n,p)$, Find $\mathbb{E}[X(X-1)(X-2)(X-3)]$
123523
Showing $\left(1+\frac{1}{n}\right)^n$ is an increasing sequence by comparing the binomial expansions term by term
140632
A problem on Binomial Theorem
101573
Subtracting even and odd binomial coefficients?
107810
Induction with Binomial Coefficients
81420
Linear transformation of a binomial random variable?
133905
Intuitive proof of $\sum_{k=1}^{n} \binom{n}{k} k^{k-1} (n-k)^{n-k} = n^n$
152084
Binomial-Theorem proof