Binomial Theorem

Flashcards covering key concepts and definitions related to the Binomial Theorem and the counting of subsets.

Binomial Theorem

Describes the algebraic expansion of powers of a binomial (x + y)^n.

Non-negative integer

An integer that is either positive or zero.

Coefficient of x^7y^3

The numerical factor in front of the term x^7y^3 in the expansion of a binomial expression.

Σn k=0 C(n, k) = 2^n

This equality states that the sum of combinations of n elements taken k at a time equals 2 raised to the power n, representing the total number of subsets of a set with n elements.

of subsets of S = |𝒫(S)|

The notation |𝒫(S)| represents the cardinality of the power set of S, indicating the total number of subsets of S.

Counting subsets

The process of determining the number of subsets that can be formed from a set, which can be done through various techniques.