Following are common definition of Binomial Coefficients. 1) A binomial coefficient C(n, k) can be defined as the coefficient of X^k in the expansion of (1. The binomial coefficient or, alternatively, the number of combinations of n items taken k at a time, provides two defining recurrences. One of these provides a very.
Binomial—Wolfram Language Documentation. After that, you can apply various tricks to reduce the number of characters of the program source code. EDIT: I decided to see if I could meet the requirements, and apparently I can. I tried two methods: computing the coefficient with the observation that common terms of the formula can be simplified, and computing the coefficient by naively computing factorials and applying the formula. It turns out that I was able to shorten the latter enough to meet the requirements (1. Still, is this actually supposed to be a proper assignment, or is it some kind of ? To get below 1. 20 characters, I had to make good use of default int and old- style function parameter declarations. Of course, there is the obvious use of one character variable/function names and the removal of all insignificant whitespace. All in all, it is not a good way to teach programming.
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