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Count to 100. How many of those numbers are odd or multiples of 5? Since 50 are odd and 20 are multiples of 5, at first glance the answer is 70... See more

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If \(A\) and \(B\) are two sets such that \[\lvert{A \cup B}\rvert=45, \lvert{A \cap B}\rvert=21 \text{ and } \lvert{A \setminus B}\rvert=11,\] then what is the value of \(\lvert{B}\rvert?\)

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Calvin has 23 books on his shelf, all of which are either Mathematics books or hardcover books. If 18 of them are hardcover books, and 12 of them are Mathematics books, how many hardcover Mathematics books does Calvin have on his shelf?

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If set \(A\) contains \(57\) elements, set \(B\) contains \(316\) elements and \(A \cap B\) contains \(15\) elements, how many elements are contained in \(A \cup B?\)

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