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1 answer:
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<h2>Answer:</h2>
<em><u>(a). 110</u></em>
<em><u>(b). 95 </u></em>
<em><u>(c). 2</u></em>
<h2>Step-by-step explanation:</h2>In the question,
Number of students who played Basketball = 99
Number of students who played Volleyball = 9
Number of students who played Soccer = 10
Number of students who played Basketball and Soccer only = 1
Number of students who played Volleyball and Soccer only = 2
Number of students who played Basketball and Volleyball only = 1
Number of students who played Basketball, Volleyball and Soccer only = 2
So,
We can see from the <u>Venn diagram</u> shown below,
Number of students who played only Basketball = 99 - (1 + 2 + 1) = 95
Number of students who played only Volleyball = 9 - (1 + 2 + 2) = 4
Number of students who played only Soccer = 10 - (1 + 2 + 2) = 5
(a).
Number of students who played atleast one of three sports = Sum of all the sections in the Venn Diagram
= (95 + 1 + 2 + 1) + (4 + 2) + 5 = 110
(b).
Students who played Basketball only = 95
(c).
Number of students who play Volleyball and Soccer but not Basketball = 2