Discrete Maths - Sets
101. Let A = {1, 2, 3, 4} and B = {0, 1, -1, 2} and several sets of ordered pairs be specified as :
I. {(1, 0), (2, 1), (3, -1), (4, 2)}
II. {(1, 0), (2, -1), (3, 2)}
III. {(4, 1), (3, 2), (2, 3), (1, 4)}
IV. {(2, 1), (3, 0), (1, - 1), (3, 1), (4, 2)}
V. {(2, 0), (1, -1), (3, 2) (4, 1)}
Which of the sets of ordered pairs are onto functions from A → B ?
In a language survey of students, it is found that 80
students know English, 60 know French, 50 know
German, 30 known English and French, 20 know
French and German, 15 know English and German
And 10 students know all three languages.
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