An automobile manufacturer offers a station wagon with either a 12-cylinder engine or a 10-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 12-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?  Options:
A) 44 B) 47 C) 48 D) 50 E) 53
12-cylinder engine wagons = 2*2*2*2*2= 
<gadget id="calculator">2*2*2*2*2</gadget>
<output>32</output>
32 (manual or automatic, with or without trailer);   10-cylinder engine wagons= 2*2*2*2= 
<gadget id="calculator">2*2*2*2</gadget>
<output>16</output>
16 (manual or automatic).   Total= 32 + 16= 
<gadget id="calculator">32 + 16</gadget>
<output>48</output>
48.   Answer:48.
<result>C</result>
An automobile manufacturer offers a station wagon with either a 12-cylinder engine or a 10-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 12-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?