A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 4, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist? Choose the correct choice from the following answers.
A) 27	B) 36	C) 72	D) 112	E) 45
{1}{2}{greater than 6}{divisible by 3}{3x}{x}:   The third digit can take 5 values: 5,6,7, 8, or 9.   The fourth digit can take 3 values: 3, 6, or 9.   The fifth and sixth digits can take 3 values: 31, 62, or 93.   Total = 5*3*3= 
<gadget id="calculator">5*3*3</gadget>
<output>45</output>
45.   Answer: 45.
<result>E</result>
A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 4, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?