We need to find:

$(S \cap T) \cup R$

where

• $S = \{1,2,3,4,5,6\}$
• $T = \{2,4,5,7\}$
• $R = \{1,4,5\}$

Step 1: Find the intersection $S \cap T$

The intersection contains only the elements that are in both $S$ and $T$.

• $S = \{1,2,3,4,5,6\}$
• $T = \{2,4,5,7\}$

Common elements are:

$S \cap T = \{2,4,5\}$

Step 2: Take the union with $R$

Now find:

$(S \cap T) \cup R = \{2,4,5\} \cup \{1,4,5\}$

The union contains all distinct elements from both sets:

$\{1,2,4,5\}$

Final Answer

$\boxed{\{1,2,4,5\}}$

So the correct option is:

C) $(1,2,4,5)$