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## 'Inclusion Exclusion' printed from http://nrich.maths.org/

How many integers between 1 and 1200 are multiples of 2?

How many integers between 1 and 1200 are multiples of 3?

How many integers between 1 and 1200 are multiples of 5?

Some integers are multiples of both 2 and 3, of both 2 and 5, of
both 3 and 5...

Some integers are multiples of 2, 3 and 5...

Can the Venn diagram in the question help, if you consider that the
multiples of 2, 3 and 5 each correspond to one of the sets
(circles)?