In a group of 90 students, 30 are taking History, and 32 are taking Statistics. If 59 students are taking History or Statistics or both, then how many students are taking History but not Statistics?
Answers:
A) 9	B) 19	C) 33	D) 27	E) 31
Number of students taking history =H=30   Number of students taking statistics =S= 32   Total number of students =T= 90   Number of students taking History or Statistics or both =B= 59   Number of students taking neither history nor statistics =N= 90-59= 
<gadget id="calculator">90-59</gadget>
<output>31</output>
31   LetXbe the number of students taking both history and statistics.   Then   T= H + S + N - X   or 90 = 30+ 32 +31 - X   or X = 3   Now,   Number of students taking only history will be   H-X   or  36-3= 
<gadget id="calculator"> 36-3</gadget>
<output>33</output>
33   Answer:- 33
<result>C</result>
In a group of 90 students, 30 are taking History, and 32 are taking Statistics. If 59 students are taking History or Statistics or both, then how many students are taking History but not Statistics?