\frac{10!}{3! \cdot 5! \cdot 2!}

Sat, 02 May 2026 23:02:23 +0000

# Understanding the Factorial Expression: \\(\frac{10!}{3! \\cdot 5! \\cdot 2!}\\) When exploring combinatorics and probability, factorials often play a central role. One intriguing expression is: \\[
\frac{10!}{3! \\cdot 5! \\cdot 2!}
\\] At first glance, this fraction may appear abstract, but it encodes meaningful mathematical and practical significance—especially in counting problems. Let’s break down what this expression means, simplify it, and explore its significance.