Leaving Cert Ireland · Mathematics

Sets and Logic

4 practice questions, each with the answer and an explanation.

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In a group of 60 students, 37 play tennis, 20 play badminton and 8 play neither. How many play both?
In Leaving Cert set theory, $A = {1, 2, 3, 4, 5, 6}$ and $B = {2, 4, 6, 8}$ . Find $A \cap B$ .
How many subsets does a set with 5 elements have, including the empty set and the set itself?
The universal set is $U = {1, 2, 3, \dots, 20}$ . How many elements of $U$ are divisible by neither 2 nor 3?

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