MathematicsThe number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7, is ___

The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7, is ___

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Solution:

$m (2) = 450, n (3) = 300, n (7) = 128, n (2 \cap 7) = 64, n (3 \cap 7) = 43, n (2 \cap 3) = 150, n (2 \cap 3 \cap 7) = 21$
Total numbers= 450 + 300 - 150 - (64 + 43 - 21)
= 514