Question

binomial coefficient formulas​

Answer 1

Answer:

A binomial coefficient equals the number of combinations of r items that can be selected from a set of n items. ... These numbers are called binomial coefficients because they are coefficients in the binomial theorem. Formula: Note: , where nPr is the formula for permutations of n objects taken r at a time

Binomial coefficient with n = 1/2

( 1 / 2 k ) = ( 2 k k ) ( − 1 ) k + 1 2 2 k ( 2 k − 1To find the binomial coefficients for (a + b)n, use the nth row and always start with the beginning. For instance, the binomial coefficients for (a + b)5 are 1, 5, 10, 10, 5, and 1 — in that order. as “n choose r.” You usually can find a button for combinations on a calculator.

Answer 2

Answer:

Binomial coefficient with n = 1/2

( 1 / 2 k ) = ( 2 k k ) ( − 1 ) k + 1 2 2 k ( 2 k − 1 ) .

Step-by-step explanation:

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