Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year? Select the correct option
A) 52 B) 67 C) 71 D) 73 E) 79
a+b= 6   b+c = 11   Refer England team: a+b+ (persons who only went to England) = 26   Persons who only went to England = 26 - (a+b) = 26-6= 
<gadget id="calculator">26-6</gadget>
<output>20</output>
20   Refer French team: b+c+(persons who only went to France)= 26   Persons who only went to France = 26 - (b+c) = 15   Refer Italian team: a+b+c+f = 32   Now with above info.   Members of the club traveled to at least one of these three countries = Nothing but summation of all values (take only once)   Leftmost circle (England) : (20+a+b)   French: 15+c (all remaining already covered in previous circle)   Italy: f (all other variables taken in previous two circles)   (20+a+b)+(15+c)+f will give the answer   20+15+ a+b+c+f = 35+32= 
<gadget id="calculator">35+32</gadget>
<output>67</output>
67   67 is the answer.
<result>B</result>
Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year?