New posts in multinomial-coefficients

Coeff. of $x^{97}$ in $f(x) = (x-1)\cdot (x-2)\cdot (x-3)\cdot (x-4)\cdot ........(x-100)$

algebra-precalculus polynomials sums-of-squares multinomial-coefficients

Proving that there are at least $n$ primes between $n$ and $n^2$ for $n \ge 6$

elementary-number-theory prime-numbers multinomial-coefficients

Ratio of $2$-norm to infinity norm of coefficients in the expansion of $(1+𝑥+𝑥^2+\ldots+x^m)^n$?

combinatorics polynomials asymptotics multinomial-coefficients

Find the coefficient of $x^{20}$ in $(x^{1}+⋯+x^{6} )^{10}$

combinatorics multinomial-coefficients

Why isn't there only one way of painting these horses?

combinatorics multinomial-coefficients

What is the coefficient of the $x^3$ term in the expansion of $(x^2+x-5)^7$ (See details)?

combinatorics algebra-precalculus multinomial-coefficients

Prove $\binom{3n}{n,n,n}=\frac{(3n)!}{n!n!n!}$ is always divisible by $6$ when $n$ is an integer.

combinatorics multinomial-coefficients

Challenge: How to prove this identity between bi- and trinomial coefficients?

summation binomial-coefficients factorial multinomial-coefficients

Tied chess matches and the monotonicity of $\sum_{k=0}^n \binom{2n}{k,k,2n-2k} (pq)^k (1-p-q)^{2n-2k}$

probability sequences-and-series hypergeometric-function multinomial-coefficients multinomial-distribution

How do I compute multinomials efficiently?

combinatorics multinomial-coefficients

find the formula of trinomial expansion

binomial-theorem multinomial-coefficients

Multinomial Coefficients Definition in expansion of $(1+x+x^2+\cdots+x^l)^n$

combinatorics multinomial-coefficients

Series expansion of infinite series raised to the $n$th power

sequences-and-series taylor-expansion multinomial-coefficients

How many different words can be formed using all the letters of the word GOOGOLPLEX?

combinatorics permutations solution-verification multinomial-coefficients

Multinomial sum with positive coefficients

probability combinatorics binomial-coefficients combinatorial-proofs multinomial-coefficients

Number of k-tuples of non-negative integers whose sum equals a given integer

combinatorics binomial-coefficients integer-partitions multinomial-coefficients provability

A way to find a closed form of multinomial convoluted polynome.

polynomials convolution hypergeometric-function multinomial-coefficients

Differentiation of inner product with matrices

calculus derivatives inner-products matrix-calculus multinomial-coefficients

Division of Factorials [binomal coefficients are integers]

elementary-number-theory divisibility factorial multinomial-coefficients