In a graduating class of 242 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?  Options.
A) 144  B) 119  C) 113  D) 88  E) 123
Greatest Possible Number taken both should be 144 (As it is maximum for One)   Smallest Possible Number taken both should be given by   Total - Neither = A + B - Both   Both = A+B+Neither - Total (Neither must be 0 to minimize the both)   So 144 + 119 + 0 - 242= 
<gadget id="calculator">144 + 119 + 0 - 242</gadget>
<output>21</output>
21   Greatest - Smallest is  144-21= 
<gadget id="calculator"> 144-21</gadget>
<output>123</output>
123   So answer must be E. 123
<result>E</result>
In a graduating class of 242 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?