AMC / AIME · Inclusion-Exclusion · Medium

Inclusion-Exclusion: How many integers from math to math are divisible by neither math nor math?

Unions without double-counting.

Try the problem

How many integers from 11 to 3030 are divisible by **neither** 44 **nor** 66?

Hint and answer

Concept to use

Three sets.

Hint

Count divisible by 44 or 66, subtract from 3030.

Answer

20

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