A five-character password consists of two letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Choose the correct choice:
A) 915,040
B) 918,720
C) 926,000
D) 937,440
E) 973,440
5 character password: DLDLD   First digit can be chosen in 10 ways.   The letter can be chosen in 26 ways.   Next digit can be chosen in 9 ways.   Next digit can be chosen in 8 ways.   The letter can be chosen in 25 ways.   This gives us 10*26*9*25*8ways   Now, the letter can also be DDLLD so there will be another 10*9*26*25*8 ways   Total = 10*26*9*25*8*2 = 973,440 ways   973,440
<result>E</result>
A five-character password consists of two letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?