1. **State the problem:** Calculate the value of $\frac{10!}{8!}$. 2. **Recall the factorial definition:** Factorial of a number $n$, denoted $n!$, is the product of all positive integers from 1 to $n$. 3. **Write the expression explicitly:** $$\frac{10!}{8!} = \frac{10 \times 9 \times 8!}{8!}$$ 4. **Cancel common factors:** $$\frac{10 \times 9 \times \cancel{8!}}{\cancel{8!}} = 10 \times 9$$ 5. **Calculate the product:** $$10 \times 9 = 90$$ 6. **Final answer:** $$\frac{10!}{8!} = 90$$ So, the correct choice is B) 90.