The number of positive integers less than 5000 that are divisible by neither 3 nor 7.

Guest May 3, 2017

#3**+2 **

**The number of positive integers less than 5000 that are divisible by neither 3 nor 7.**

Number of integers divisible by 3 = 1666

Number of integers divisble by 7 = 714

Number of integers divisible by 3 and 7 = 5000/21 = 238 (Double Counting... )

So.....The number of positive integers less than 5000 that are divisible by neither 3 nor 7 =

4999 - 1666 - 714 ** +** 238 = ** 2857**

heureka
May 3, 2017

#1**+2 **

I believe this is correct.....but.......I'm not totally sure

Number of integers divisible by 3 = 1666

Number of integers divisble by 7 = 714

Number of integers divisible by 3 and 7 = 5000/21 = 238

So.....The number of positive integers less than 5000 that are divisible by neither 3 nor 7 =

4999 - 1666 - 714 - 238 =

2381

Could someone else check this answer ??

CPhill
May 3, 2017

#3**+2 **

Best Answer

**The number of positive integers less than 5000 that are divisible by neither 3 nor 7.**

Number of integers divisible by 3 = 1666

Number of integers divisble by 7 = 714

Number of integers divisible by 3 and 7 = 5000/21 = 238 (Double Counting... )

So.....The number of positive integers less than 5000 that are divisible by neither 3 nor 7 =

4999 - 1666 - 714 ** +** 238 = ** 2857**

heureka
May 3, 2017