A driving license number has 6 digits (between 1 to 9). The first two digits are 12 in that order, that third digit third digit is bigger than 6, the fourth one can be equally divided divided by 3 and the fifth digit is 3 times bigger than sixth one. How many license numbers can be made using this arrangement?
27, 36, 72, 112 ...?

Answer :

The counting principle is applied for this problem. There is only one possible combinations for the first two digits: 12. There are four possible combinations for the third digit: 7, 8, 9, 10. There are three possible combinations for the fourth digit: 3, 6, 9. There are three possible combinations for the fifth and sixth digits: 31, 62, 93.


So all in all, 1(4)(3)(3) = 36.

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