In a class of 50 students, 20 play SNOOKER, 15 play Cricket and 11 play Football. 7 play both SNOOKER and Cricket, 4 play Cricket and Football and 5 play SNOOKER 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 answer:
A) 10  B) 12  C) 34  D) 45  E) 566
Notice that7 play both SNOOKER and Cricket does not mean that out of those 7, some does not play Football too. The same for Cricket/Football and SNOOKER/Football.   [color=#ffff00]{Total}={SNOOKER}+{Cricket}+{Football}-{HC+CH+HF}+{All three}+{Neither}For more check ADVANCED OVERLAPPING SETS PROBLEMS   [/color]   50=20+15+11-(7+4+5)+{All three}+18 --&gt; {All three}=2;   Those who play ONLY SNOOKER 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 SNOOKER 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.   10nswer: 10.
<result>A</result>
In a class of 50 students, 20 play SNOOKER, 15 play Cricket and 11 play Football. 7 play both SNOOKER and Cricket, 4 play Cricket and Football and 5 play SNOOKER and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?