Pascal and His Formulas
The Pascal triangle (actually known long before Pascal) is a table of the binomial coefficients where the (n, k)th entry is .
Each entry is the sum of the pair immediately above it.
The binomial coefficients are the coefficients of powers of x in the expansion of (1 + x)n.
where the binomial coefficient is the number of ways of choosing an (unordered) subset of size k from a set of size n.
The binomial coefficients are the entries in the Pascal triangle.
The Binomial Theorem is the result which allows one to expand a binomial:
(x + y)n = xn + an-1xn-1y + an-2xn-2y2 + ... + yn
where the coefficients ai are called binomial coefficients
probability theory Probability theory studies the possible outcomes of given events together with their relative likelihoods and distributions.
Enter an email address where the link will be sent:
Link to paper: