How many integers from 100 to 10000, inclusive, are exactly divisible by 6 or 11 or 14 or 15 but neither divisible by 30 nor by 42 ?

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Pustam1729Arithmetic
How many integers from 100 to 10000, inclusive, are exactly divisible by 6 or 11 or 14 or 15 but neither divisible by 30 nor by 42 ?