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WORKBOOK

2) The Venn diagram below shows the number of students studying Science (S), Mathematics (M)
and History (H) out of a group of 20 college students. Some of the students do not study any of these
subjects, 8 study Science, 10 study Mathematics and 9 study History.

U

S 1 M
4 A
2
1 3

3 H

(i) How many students belong to the region labelled A?

(ii) Describe in words the region labelled A.

(iii) How many students do not study any of the three subjects?

3) In a class of 42 students, 28 students study mathematics, 30 study science and 5 study neither.
How many study both?

4) In a group of people, 14 speak at least English or French. 11 speak only one of English or French. 23
speak at most one of them. How many people are there in this group?

36 091math-wb-w3-(sets)