Question: How many positive integers are there under 5000 that are (a) multiples of 3, (b) multiples of 4, (c) multiples of both 3 and 4,

How many positive integers are there under 5000 that are

(a) multiples of 3,

(b) multiples of 4,

(c) multiples of both 3 and 4,

(d) not multiples of either 3 or 4?

(Hint: Use the division principle adjusted for divisions with remainder!)

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