In a class of 50 students, 20 play Baseball, 15 play Cricket and 11 play Football. 7 play both Baseball and Cricket, 4 play Cricket and Football and 5 play Baseball and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports? Pick one.
A) 10  B) 46  C) 67  D) 68  E) 446
Notice that7 play both Baseball and Cricket does not mean that out of those 7, some does not play Football too. The same for Cricket/Football and Baseball/Football.   [color=#ffff00]{Total}={Baseball}+{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 Baseball 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 Baseball 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 Baseball, 15 play Cricket and 11 play Football. 7 play both Baseball and Cricket, 4 play Cricket and Football and 5 play Baseball and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?