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Questions Tagged with "binomial coefficients"

Explore solved questions tagged with "binomial coefficients" or help others by answering their unsolved questions related to "binomial coefficients".

Proof of $sum_{k=0}^m binom{n}{k}(-1)^k = (-1)^m binom{n-1}{m}$ for $n > m geq 0$

5 answer

Mathematics Asked 2 years ago by NotEinstein

Find the coefficient of $x^{24}$ in the binomial equation

3 answer

Mathematics Asked 2 years ago

Proof for a combinatorial identity

2 answer

Mathematics Asked 2 years ago

What is the difference between ${3 choose 2}$ and ${3 choose 1}{2 choose 1}$?

3 answer

Mathematics Asked 2 years ago

Found bounds for a sum of binom coefficients(generalization of Vandermonde's identity)

3 answer

Mathematics Asked 2 years ago

Assert the range of a binomial coefficient divided by power of a number

3 answer

Mathematics Asked 2 years ago by vib_29

Computing $2 binom{n}{0} + 2^2 frac{binom{n}{1}}{2} + 2^3 frac{binom{n}{2}}{3} + cdots + 2^{n+1} frac{binom{n}{n}}{n+1}$

4 answer

Mathematics Asked 2 years ago by RaduV

Why does the Binomial Theorem use combinations and not permutations for its coefficients?

5 answer

Mathematics Asked 3 years ago by Jor

How to compute the series: $sum_{n=0}^{infty} (-1)^{n-1}binom{1/2}{n}$

1 answer

Mathematics Asked 3 years ago by PortoKranto

Suppose that $N$ and $r$ are positive integers. Prove or disprove that if $N$ is an even integer and $r$ is odd, then $binom{N}{r}$ is even.

3 answer

Mathematics Asked 3 years ago by s1mple

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