At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?  Choose the correct choice from the following answers
A) 424.  B) 428.  C) 430.  D) 432.  E) 436
Students studying Random-processing methods = 312   Students studying Scramjet rocket engines = 232   Students studying them both = 112   Therefore ;   Students studying Only Random processing methods = 312 - 112= 
<gadget id="calculator">312 - 112</gadget>
<output>200</output>
200   Students Studying Only Scramjet Rocket engines= 232 - 112= 
<gadget id="calculator">232 - 112</gadget>
<output>120</output>
120   Students Studying Both= 112   Students Studying None = 0 (As mentioned in question that every student in the faculty has to study one of the two subjects)   Total Students in faculty of Aerospace Engineering = Students of Only Random processing methods + Students of Only Scramjet Rocket engines + Both + None   Total number of Students = 200 + 120 + 112 + 0= 
<gadget id="calculator">200 + 120 + 112 + 0</gadget>
<output>432</output>
432 ....   Answer 432.
<result>D</result>
At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?