Created by StemPy LabFour relations are defined on the set of all integers, by saying when is related to . Which one of them is an equivalence relation, that is, reflexive, symmetric and transitive?
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← In a class, 50 students study mathematics, 45 study physics and 40 study chemistry. Of these, 20 study both mathematics and physics, 15 study both physics and chemistry, 18 study both mathematics and chemistry, and 8 study all three. How many students study exactly one of the three subjects?How many one-one functions f from {1, 2, 3} to {1, 2, 3, 4, 5} satisfy f(1) ≠ 1, f(2) ≠ 2 and f(3) ≠ 3? In other words, no element of the first set is sent to the number equal to itself. →
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