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

Guest May 3, 2017

Best Answer 

 #3
avatar+18358 
+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

 

laugh

heureka  May 3, 2017
edited by heureka  May 3, 2017
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4+0 Answers

 #1
avatar+75302 
+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  ??

 

 

cool cool cool

CPhill  May 3, 2017
 #3
avatar+18358 
+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

 

laugh

heureka  May 3, 2017
edited by heureka  May 3, 2017
 #2
avatar+6765 
0

This is correct, CPhill :D

MaxWong  May 3, 2017
 #4
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0

heureka's answer is CORRECT.

Guest May 3, 2017

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