There are 450 positive integers between 100 and 999 (both included) that are divisible by 3 or 4.
According to the question,
We have the following information:
Positive integers between 100 and 999 including both these integers which are divisible by 3 or 4
Now, the number of positive integers between 100 and 999 is (999-100+1) or 900.
Now, the numbers divisible by 3 will be in multiplication of 3.
So, number which are divisible by 3:
900/3 = 300
Now, the numbers divisible by 4 will be in multiplication of 4:
So, the numbers which are divisible by 4:
900/4 = 225
Now, there are also numbers in numbers divisible by which are divisible by 3. So, they are 1/3 of the numbers divisible by 4:
225/3
75
Now, total numbers divisible by 4:
225-75
150
Now, total numbers divisible by 3 or 4:
300+150
450
Hence, there are 450 positive integers between 100 and 999 (both included) that are divisible by 3 or 4.
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