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If all multiples of 3 and all multiples of 4 are removed from the list of whole numbers 1 through 100, then how many whole numbers are left?

 Oct 6, 2018
 #1
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let U be the set of whole numbers 1100and let V be U with the multiples of 3 and 4 removed|V|=|U||multiples of 3 < 100||multiples of 4100|+|multiples of both 3 and 4100|

 

|U|=100|multiples of 3<100|=33|multiples of 4100|=25|multiples of 3 and 4100|=|multiples of 12100|=8|V|=1003325+8=50

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 Oct 6, 2018

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