Fun with numbers! (Part-2)

How many 7 digit Natural numbers are there which satisfy the given set of constraints

  1. The number should not contain the digit 0 .
  2. The number should be divisible by 3 .
  3. Repetition of digits within the number is allowed (any digit can be used any number of times)


The answer is 1594323.

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1 solution

Aryan Goyat
Dec 14, 2015

simply we can put any digit as first 6 numbers but the last no has only 3 possibilities left(since no should not contain 0) . {9^6}*(3)

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