1. **Stating the problem:** We need to find the value of the expression $\frac{6!}{3!} + 4$. 2. **Recall the factorial definition:** - $n!$ (n factorial) means the product of all positive integers from 1 to $n$. - For example, $6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1$ and $3! = 3 \times 2 \times 1$. 3. **Calculate the factorials:** - $6! = 720$ - $3! = 6$ 4. **Divide the factorials:** $$\frac{6!}{3!} = \frac{720}{6} = 120$$ 5. **Add 4 to the result:** $$120 + 4 = 124$$ 6. **Final answer:** The value of $\frac{6!}{3!} + 4$ is **124**.