A five-character password consists of one letter of the alphabet and four 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) 5,040	B) 18,720	C) 262,000	D) 137,440	E) 262,080
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.   Next digit can be chosen in 8 ways.   This gives us 10*26*9*8*7 ways   Now, the letter can also be DDLDD so there will be another 10*9*26*8*7 ways   Total = 10*26*9*8*7*2 = 262,080 ways   262,080
<result>E</result>
A five-character password consists of one letter of the alphabet and four 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?