To evaluate the expression [tex]\(4! \cdot 3!\)[/tex], let's break it down step by step.
1. Calculate [tex]\(4!\)[/tex]:
- The factorial of a number means to multiply all positive integers up to that number.
- So, [tex]\(4!\)[/tex] (read as "four factorial") is calculated as:
[tex]\[
4! = 4 \times 3 \times 2 \times 1 = 24
\][/tex]
2. Calculate [tex]\(3!\)[/tex]:
- Similarly, [tex]\(3!\)[/tex] (read as "three factorial") is calculated as:
[tex]\[
3! = 3 \times 2 \times 1 = 6
\][/tex]
3. Multiply the results of [tex]\(4!\)[/tex] and [tex]\(3!\)[/tex]:
- Now, multiply the results of the two factorials we calculated:
[tex]\[
4! \cdot 3! = 24 \cdot 6 = 144
\][/tex]
Therefore, the value of the expression [tex]\(4! \cdot 3!\)[/tex] is [tex]\(144\)[/tex]. So, the correct answer is:
144
