Mathematics 1 Deneme Sınavı Sorusu #1211417
In a school, the total number of students are 250. The number of the members of the Mathemtics Club is 153, and the number of the members of the Sports Club is 110. Given that there are only two clubs in the school, and the number of the students who are neither a member of the Mathematics Club nor the Sports club is 17, find the number the students who are a member of both the Sports Club and the Matematics Club.
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10 |
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20 |
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30 |
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40 |
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50 |
Denote by M and S the set of all students who are members of the Mathematics and Sports clubs, respectively. Then, s(M ? S) = 250-17 = 233. Using the formula (M ? S) = s(M) + s(S) – s(M ? S), we have s(M ? T) = 233 = 153 + 110 - x, where x is the required number. Then we find that x = 153 + 110 - 233. Thus, x equals to 30.
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