A four-character password consists of one letter of the alphabet and three different digits between 1 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible? Select the correct option:
A) 5,040  B) 18,720  C) 26,208  D) 37,440  E) 52,000
4 character password: DLDD   First digit can be chosen in 9 ways.   The letter can be chosen in 26 ways.   Next digit can be chosen in 8 ways.   Next digit can be chosen in 7 ways.   This gives us 9*26*8*7ways   Now, the letter can also be DDLD so there will be another 9*26*8*7 ways   Total = 9*26*8*7*2 = 26,208 ways 26,208
<result>C</result>
A four-character password consists of one letter of the alphabet and three different digits between 1 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?