In a class of 50 students, 20 play Golf, 15 play Cricket and 11 play Football. 7 play both Golf and Cricket, 4 play Cricket and Football and 5 play Golf and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?	Choose the correct choice:	A) 45	B) 12	C) 35	D) 10	E) 77
Notice that7 play both Golf and Cricket does not mean that out of those 7, some does not play Football too. The same for Cricket/Football and Golf/Football.   [color=#ffff00]{Total}={Golf}+{Cricket}+{Football}-{HC+CH+HF}+{All three}+{Neither}For more checkADVANCED OVERLAPPING SETS PROBLEMS   [/color]   50=20+15+11-(7+4+5)+{All three}+18 --&gt; {All three}=2;   Those who play ONLY Golf and Cricket are 7-2= 
<gadget id="calculator">7-2</gadget>
<output>5</output>
5;   Those who play ONLY Cricket and Football are  4-2= 
<gadget id="calculator"> 4-2</gadget>
<output>2</output>
2;   Those who play ONLY Golf and Football are  5-2= 
<gadget id="calculator"> 5-2</gadget>
<output>3</output>
3;   Hence, 5+2+3=10 students play exactly two of these sports.   Answer: 10.
<result>D</result>
In a class of 50 students, 20 play Golf, 15 play Cricket and 11 play Football. 7 play both Golf and Cricket, 4 play Cricket and Football and 5 play Golf and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?