A binomial coefficient is a coefficient of any of the terms in the expansion of the binomial (x+y)^n.
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
The coefficients of the binomial expansion of (1 + x)n for a positive integer n is the nth row of Pascal's triangle.
X + Y⁶X + Y * Y * Y * Y * Y * Y
A binomial coefficient is a coefficient of any of the terms in the expansion of the binomial (x+y)^n.
First i will explain the binomial expansion
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
Farmville's 24 x 24 expansion will be available March of 2010
The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
The coefficient of x^r in the binomial expansion of (ax + b)^n isnCr * a^r * b^(n-r)where nCr = n!/[r!*(n-r)!]
The coefficients of the binomial expansion of (1 + x)n for a positive integer n is the nth row of Pascal's triangle.
X + Y⁶X + Y * Y * Y * Y * Y * Y
Binomial Theorum
Sounds pretty sexy, eh? See link. http://en.wikipedia.org/wiki/Binomial_expansion
The binomial expansion is valid for n less than 1.
If the top row of Pascal's triangle is "1 1", then the nth row of Pascals triangle consists of the coefficients of x in the expansion of (1 + x)n.