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ale4655 [162]
3 years ago
8

How many positive integers under 50 are multiples of neither 4 nor 6

Mathematics
1 answer:
lyudmila [28]3 years ago
6 0
Candidates range from 1 to 50.
50/4=12 positive integers are multiples of 4
50/6=8 positive integers are multiples of 6
50/12=4 positive integers are multiples of 12 (LCM of 4 and 6)
By the inclusion/exclusion principle, the number of multiples of either 4 or 6 is equal to 12+8-4=16.

Therefore, the complement is the number of positive integers that are multiples of neither 4 nor 6 = 50-16=34.


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