1. The problem is to calculate the value of $$\frac{11!}{3! \times 3! \times 2! \times 2!}$$ using a calculator. 2. Recall that the factorial of a number $n$, denoted $n!$, is the product of all positive integers from 1 to $n$. For example, $5! = 5 \times 4 \times 3 \times 2 \times 1 = 120$. 3. Write down the factorial values: $$11! = 39916800$$ $$3! = 6$$ $$2! = 2$$ 4. Substitute these values into the expression: $$\frac{11!}{3! \times 3! \times 2! \times 2!} = \frac{39916800}{6 \times 6 \times 2 \times 2}$$ 5. Calculate the denominator: $$6 \times 6 = 36$$ $$2 \times 2 = 4$$ $$36 \times 4 = 144$$ 6. Now divide the numerator by the denominator: $$\frac{39916800}{144}$$ 7. Simplify the fraction by canceling common factors: $$\frac{\cancel{39916800}}{\cancel{144}} = 277200$$ 8. Therefore, the value of $$\frac{11!}{3! \times 3! \times 2! \times 2!}$$ is $$277200$$. This calculation can be done on a calculator by first computing each factorial or using a scientific calculator's factorial function, then performing the division.