SOLUTION: 50 students were interviewed to determine what sports they like and the results were:28 play basketball,21 play hockey,26 soccer,16 basketball and hockey,12 hockey and soccer,15 ba

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Question 1034631: 50 students were interviewed to determine what sports they like and the results were:28 play basketball,21 play hockey,26 soccer,16 basketball and hockey,12 hockey and soccer,15 basketball and soccer,10 all three sports.
how many students play none of three sports.how many play hockey and soccer only but not basketball.how many students play only basketball
Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website!
If you make a three-circle Venn diagram and start filling it in, from the innermost area first, you will find that the above description includes a total of 42 students involved in one or more sports.
Thus 8 do not play any of those.
You are told 12 play hockey and soccer but not basketball.
Seven students play only basketball.