If W is the set of all the integers between 19 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?	Choose the correct choice from the following.
A) 26	B) 32	C) 33	D) 34	E) 54
Multiples of 2 from 19 to 99=Multiples of 2 from 1 to 99-Multiples of 2 from 1 to 18=[99/2]-[18/2]=49-9= 
<gadget id="calculator">49-9</gadget>
<output>40</output>
40   Multiples of 3 from 19 to 99=Multiples of 3 from 1 to 99-Multiples of 3 from 1 to 18=[99/3]-[18/3]=33-6= 
<gadget id="calculator">33-6</gadget>
<output>27</output>
27   Multiples of2 and 3 bothi.e.6 from 19 to 99=Multiples of 6 from 1 to 99-Multiples of 6 from 1 to 18=[99/6]-[18/6]=16-3= 
<gadget id="calculator">16-3</gadget>
<output>13</output>
13   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= 40 + 27 -13= 
<gadget id="calculator">40 + 27 -13</gadget>
<output>54</output>
54   Answer Option 54
<result>E</result>
If W is the set of all the integers between 19 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?