In a sports club with 28 members, 17 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis?  Choices:
A) 7  B) 8  C) 9  D) 10  E) 11
Let x play both badminton and tennis so 17-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,   (17-x)+(19-x)+x+2=28   38-2x+x=28   38-x=28   x=10   So 8 members play both badminton and tennis.   10
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In a sports club with 28 members, 17 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis?