Multiples of 6 or 7 but not both

Probability Level 3

How many integers between 1 and 2015 are multiples of 6 OR 7 but not both?


The answer is 528.

Paul Fournier by Paul Fournier , 70, Canada

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1 solution

The answer is ⌊ 2015 6 ⌋ + ⌊ 2015 7 ⌋ − 2 ⌊ 2015 42 ⌋ = 528 \left\lfloor\dfrac{2015}{6}\right\rfloor+\left\lfloor\dfrac{2015}{7}\right\rfloor-2\left\lfloor\dfrac{2015}{42}\right\rfloor=\boxed{528}

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