(a) Show that the set of all positive rational numbers is a countably…
Previous year question for Discrete Mathematics.
Question
(a) Show that the set of all positive rational numbers is a countably infinite set.
(b) Show that the function, $f:R \to R$ defined by $f(x) = 2x^3 + 1, \forall x \in R$ is a bijection.
(c) Determine the no. of integers between 1 and 250 which are divisible by any of the integers $2, 3, 5, 7$.
- Year: 2018
- Subject: Discrete Mathematics
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