The multinomial calculator allows us to calculate the coefficients that occur in the multinomial expansion of a polynomial. It is calculated using the formula,

Multinomial coefficient: 13,860
How to find Multinomial Coefficient – Example Using Formula:
Given, n = 12; n1 = 6; n2 = 4; n3 = 2
Multinomial Coefficient = 12!/ (6! x 4! x 2!)
Multinomial Coefficient = (12 x 11 x 10 x 9 x 8 x 7)/(4! x 2!)
Multinomial Coefficient = (12 x 11 x 10 x 9 x 8 x 7)/(24 x 2)
Now, 12 x 8 = 96 and, 24 x 2 = 48
Since, 96/48 = 2 we get that,
Multinomial Coefficient = 11 x 10 x 9 x 7 x 2 = 13860