Respuesta :

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.

To know more about positive integers here

https://brainly.com/question/13978375

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