How many positive integers under 50 are multiples of neither 4 nor 6
1 answer:
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.
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.
You might be interested in
<h2>Hello!</h2>
The answer is:
The area is equal to 113.04 units.
<h2>Why?</h2>To find the area of the circle, we need to use the given information about the radius (6).
So, the area of a circle is given by the following formula:
Where,
Substituting the given radius, we have:
Have a nice day!