\binom{4}{2} = 6, \quad \left(\frac{1}{6}\right)^2 = \frac{1}{36}, \quad \left(\frac{5}{6}\right)^2 = \frac{25}{36}

Fri, 01 May 2026 03:56:36 +0000

# Decoding Basic Binomial and Exponent Calculations: Why $\binom{4}{2} = 6$, $\left(\frac{1}{6}\right)^2 = \frac{1}{36}$, and $\left(\frac{5}{6}\right)^2 = \frac{25}{36}$ Matter Understanding fundamental mathematical expressions can significantly boost your numeracy skills and confidence in algebra, combinatorics, and fractions. In this SEO-rich article, we break down three essential calculations: $\binom{4}{2} = 6$, $\left(\frac{1}{6}\right)^2 = \frac{1}{36}$, and $\left(\frac{5}{6}\right)^2 = \frac{25}{36}$. We’ll explore their meanings, step-by-step solutions, and real-world significance to help you master these concepts. ## What is $\binom{4}{2} = 6$?
The expression $\binom{4}{2}$ represents a binomial coefficient, also known as "4 choose 2." It counts how many ways there are to choose 2 items from a set of 4 distinct items without regard to order. ### Combinatorics Explained
The formula for the binomial coefficient is: