solve factorial

When tackling factorial problems such as (7+2!)×(4÷2)×5!, it's helpful to break down the expression to its basic components. Factorials are the product of all positive integers up to a given number, for example, 5! equals 5×4×3×2×1=120. In this expression, start by calculating the factorial values first. For instance, 2! equals 2, so the term (7+2!) becomes (7+2)=9. The division part (4÷2) is straightforward, equaling 2. Finally, 5! equals 120. Multiply these results step-by-step: 9 × 2 = 18, then 18 × 120 = 2160. Therefore, the entire expression evaluates to 2160. Approaching factorial problems systematically allows you to avoid confusion and errors. Personally, I found that writing down intermediate results helps to better visualize each step, especially when expressions combine operations and factorials. Using a calculator for large factorials is often necessary, but understanding the concept behind factorials improves confidence and problem-solving speed. Practice with similar factorial expressions and gradually increase complexity to build skills. Remember, factorials appear frequently in permutations and combinations, so mastering them opens doors to more advanced math topics.