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Binomial-coefficients
New post in Binomial-coefficients
If the sum of coefficients in the expansion of (1+2x)^n is 6561 then the greatest binomial coefficient in the expansion is?
August 1st, 2022
binomial-coefficients
Show that $(1+x)^n$ = .... Hence deduce that .... = $2^n$
August 21st, 2020
proof-verification
binomial-coefficients
combinations
combinatorics
Coefficient of $x^7$ in binomial expansion of $(1/6-3x)^{17}$
December 25th, 2020
binomial-coefficients
Prove $k\binom nk=n \binom{k-1}{ n-1}$ algebraically.
August 1st, 2022
binomial-coefficients
Understanding a proof of the fact that $\binom{n}{k}$ is always a natural number.
July 31st, 2020
divisibility
induction
binomial-coefficients
What does 9P2 mean, and how would one solve it?
February 6th, 2020
binomial-theorem
probability
binomial-coefficients
General Formula for Number of Terms in an Expansion
September 7th, 2020
binomial-coefficients
binomial-theorem
polynomials
combinatorics
What 's the upper limit of a binomial expansion with fractional power?
August 1st, 2022
binomial-coefficients
calculus
find a value in pascal triangle given row and column
February 12th, 2020
binomial-coefficients
How many routes are there through from top left corner to top right in a 20x20 grid? Binomial Coefficent explanation
July 27th, 2020
binomial-coefficients
project-euler
Finding a particular term of a binomial expansion
March 2nd, 2020
binomial-theorem
binomial-coefficients
Diagonals of Pascal's Triangle
June 24th, 2020
binomial-coefficients
constants
integration
Prove Pascal's formula by induction
August 1st, 2022
combinatorics
binomial-coefficients
Counting the number of combinations when some values are fixed
December 28th, 2020
binomial-coefficients
combinatorics
The term independent of $x$ in the expansion
April 9th, 2020
binomial-coefficients
Remarkable and odd property, why is $\sum_{k=1}^i(-1)^{(i+k)}\text{ }^iC_kk^j= 0$ for $i>j$
August 1st, 2022
binomial-coefficients
combinatorics
summation
Find $k$ if given the constant term of a binomial expression?
August 1st, 2022
binomial-distribution
binomial-coefficients
binomial-theorem
Prove $\sum \binom nk 2^k = 3^n$ this identity combinatorially
April 28th, 2020
combinatorial-proofs
binomial-coefficients
summation
binomial-theorem
combinatorics
Finding coefficients of a polynomial expansion
August 1st, 2022
multinomial-coefficients
taylor-expansion
binomial-coefficients
Find generating functions given a sequence, and vice versa?
August 1st, 2022
power-series
discrete-mathematics
combinatorics
binomial-coefficients
generating-functions
Let $n$ be a positive integer, Prove that $\sum_{k=1}^n\frac{ (-1)^{k-1}}{k}{n \choose k} = H_n$
August 1st, 2022
combinatorial-proofs
combinatorics
binomial-coefficients
proof-explanation
Calculate reciprocal square root via binomial expansion
August 1st, 2022
binomial-coefficients
algebra-precalculus
Combinatorial proof (multi choose)
August 1st, 2022
combinatorics
binomial-coefficients
multisets
Find the coefficient of $x^{-2}$ in the expansion of $(x-1)^3(\frac{1}{x} +2x)^6$
May 3rd, 2020
binomial-coefficients
algebra-precalculus
binomial-theorem
Finding number of intersections between line A and B
November 4th, 2020
binomial-coefficients
combinatorics
geometry
Find a constant in a binomial expansion
September 16th, 2020
binomial-coefficients
linear-algebra
Multi binomial theorem application
August 1st, 2022
binomial-coefficients
combinatorics
notation
Probability of choosing coins from a bag (why doesn't binomial coefficient work?)
August 1st, 2022
probability
discrete-mathematics
combinatorics
binomial-coefficients
Prove $\sum_{k=0}^{n}\binom{n}{k} = 2^{n}$ combinatorially
August 1st, 2022
binomial-coefficients
combinatorics
Prove Maximum term in the expansion.
July 29th, 2020
binomial-coefficients
binomial-theorem
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