How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 3, and the digit 3 can be used only once? Choose the correct choice from the following answers.
A) 20 B) 150 C) 225 D) 250 E) 316
4 options for the first digit: 2, 4, 6, 8;   5 options for the second digit: 1, 3, 5, 7, 9;   4 options for the third digit: 2, 3, 5, 7;   4 options for the fourth digit: 0, 3, 6, 9.   Four digit # possible without the restriction (about the digit 6): 4*5*4*4=320   Numbers with three 3-s, 3X3X3 4*1*1*1=4   Thus there are 320-4= 
<gadget id="calculator">320-4</gadget>
<output>316</output>
316 such numbers.   Answer: 316.
<result>E</result>
How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 3, and the digit 3 can be used only once?