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How many positive multiples of 3 less than 1000 use only the digits 2 and/or 4 and/or 6?

 Jun 11, 2021
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I'm assuming repetition of digits are allowed. 

 

No. of 1-digit no.'s = 1 (6)

No. of 2-digit no.'s = 3 (24,42 & 66) 

No. of 3-digit no.'s = 9 (222,246,264,444,426,462,666,624 & 642) 

 

So total no. of multiples = 1+3+9

                                      = 13

 Jun 11, 2021

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