A 5-digit code consists of one number digit chosen from 1, 2, 3 and four letters chosen from A, B, C, D, E. If the first and last digit must be a letter digit and each digit can appear more than once in a code, how many different codes are possible?  Pick one.
A) 375 B) 625 C) 1,875 D) 3,750 E) 5,625
Choose one number from 3 numbers in 3C1 = 3 ways   Choose one position from the middle three for the number in 3C1 = 3 ways   The other four positions can be filled by the 5 letters in 5^4 ways.   Therefore total number of codes possible = 3*3*(5^4) = 5,625   ANSW5,625R:5,625
<result>E</result>
A 5-digit code consists of one number digit chosen from 1, 2, 3 and four letters chosen from A, B, C, D, E. If the first and last digit must be a letter digit and each digit can appear more than once in a code, how many different codes are possible?