A four-character password consists of one 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 from the following:
A) 5,040	B) 18,720	C) 26,000	D) 37,440	E) 52,000
4 character password: DLDD   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.   This gives us 10*26*9*8ways   Now, the letter can also be 37,44037,440L37,440 so there will be another 10*9*26*8 ways   Total = 10*26*9*8*2 = 37,440 ways   ANS:37,440
<result>D</result>
A four-character password consists of one 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?