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binomial coefficients

The factorial of a number is:

  n! = n·(n-1)·(n-2)·…·3·2·1          (0! = 1)

For example:    6! = 6·5·4·3·2·1= 720
A binomial coefficient, n choose k, is:

Example:
Exercise. Calculate:
Solutions: a) 10; b) 35; c) 1