A man has 4 shirts and 3 ties. How many different shirt and tie arrangements can he wear? He can wear $\square$ different shirt and tie arrangements.

Step 1 ：A man has 4 shirts and 3 ties. How many different shirt and tie arrangements can he wear?

Step 2 ：The number of arrangements is 4 (the number of shirts) times 3 (the number of ties).

Step 3 ：Using the formula for the number of arrangements, we get \(num\_arrangements = num\_shirts \times num\_ties\)

Step 4 ：Substituting the given values, we get \(num\_arrangements = 4 \times 3\)

Step 5 ：Solving the above expression, we get \(num\_arrangements = 12\)

Step 6 ：Final Answer: The man can wear \(\boxed{12}\) different shirt and tie arrangements.