Refer to the following Venn diagram: In a class of 250 students 120 students play Foot Ball, 110 play Cricket and 130 Play Tennis. 45 students play both foot ball and Cricket, 65 play both Cricket and Tennis and 55 play both Foot ball and tennis. 35 students play foot ball, cricket and Tennis.How many students play exactly two of the 3 games?Options3020805060
Question
Refer to the following Venn diagram: In a class of 250 students 120 students play Foot Ball, 110 play Cricket and 130 Play Tennis. 45 students play both foot ball and Cricket, 65 play both Cricket and Tennis and 55 play both Foot ball and tennis. 35 students play foot ball, cricket and Tennis.How many students play exactly two of the 3 games?Options3020805060
Solution 1
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Solution 2
The question is asking for the number of students who play exactly two of the three games.
From the information given, we know that:
- 45 students play both football and cricket
- 65 students play both cricket and tennis
- 55 students play both football and tennis
However, we also know that 35 students play all three sports. These students are included in each of the counts above, so we need to subtract them out to avoid double-counting.
So, the number of students who play exactly two sports is:
(45 - 35) + (65 - 35) + (55 - 35) = 10 + 30 + 20 = 60 students.
So, the answer is 60.
Solution 3
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