If W is the set of all the integers between 59 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
Select the correct option:
A) 27
B) 32
C) 33
D) 34
E) 35
Multiples of 2 from 59 to 99=Multiples of 2 from 1 to 99-Multiples of 2 from 1 to 58=[99/2]-[58/2]=49-29= 
<gadget id="calculator">49-29</gadget>
<output>20</output>
20   Multiples of 3 from 59 to 99=Multiples of 3 from 1 to 99-Multiples of 3 from 1 to 58=[99/3]-[58/3]=33-169=14   Multiples of2 and 3 bothi.e.6 from 59 to 99=Multiples of 6 from 1 to 99-Multiples of 6 from 1 to 58=[99/6]-[58/6]=16-9= 
<gadget id="calculator">16-9</gadget>
<output>7</output>
7   These 8 Numbers have been counted twice in both the above calculation while calculating multiples of 2 and 3   i.e. Total Numbers in W= 20 + 14 - 7= 
<gadget id="calculator">20 + 14 - 7</gadget>
<output>27</output>
27   27nswer Option 27
<result>A</result>
If W is the set of all the integers between 59 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?