A three-character password consists of one letter of the alphabet and two 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?
Pick one
A) 4,680 B) 18,720 C) 26,000 D) 37,440 E) 52,000
4 character password: DLD   First digit can be chosen in 10 ways.   The letter can be chosen in 26 ways.   Next digit can be chosen in 9 ways.   This gives us 10*26*9 ways   Now, the letter can also be DDLD so there will be another 10*9*26 ways   Total = 10*26*9*2 = 4,680 ways   4,680
<result>A</result>
A three-character password consists of one letter of the alphabet and two 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?