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MAT1830 - Discrete mathematics for computer science - S1 2025
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Is 9 an element of ? Is a subset of the set ?
If is a set with , what is ?
Let and be the set of primes. What is ?
A student is trying to prove a statement for all integers by strong induction. As an induction step they have proved that, for all integers , if then . What is the minimum number of base steps they will need to finish their proof?
Consider a function . Which of the following guarantees that " for all integers '' can be proved by induction?(If (E) is true you must select it rather than any other answer. If (E) is false but (D) is true, you must select (D) rather than (A) or (B).)
Find an integer such that and .
(You may like to use your working from the question above.)
Suppose there are integers , , and such that , and does not divide . What is ?
Find the greatest common divisor of 332 and 128.