Multinomial Theorem. If upper limit of a variable is more than or equal to the sum required and lower limit of all the variables are non negative then upper limit of that variable can be taken as infinite. 3 generalized multinomial theorem 3 1 binomial theorem theorem 3 1 1 if x1 x2 are real numbers and n is a positive integer then x1 x2 n σ r 0 n nrc x1 n rx 2 r 1 1 binomial coefficients binomial coefficient in 1 1 is a positive number and is described as nrc.
In mathematics the multinomial theorem describes how to expand a power of a sum in terms of powers of the terms in that sum. In how many ways the sum of upper faces of four distinct dies can be six. We will show how it works for a trinomial.
The multinomial theorem gives us an expansion when the base has more than two terms like in x 1 x 2 x 3 n.
The multinomial theorem provides a formula for expanding an expression such as x 1 x 2 x k n for integer values of n. Since this can be rewritten as. Here n and r are both non negative integer. In how many ways the sum of upper faces of four distinct dies can be six.
