A four-character password consists of one letter of the alphabet and three different digits between 2 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) 17,472	C) 26,000	D) 37,440	E) 52,000
4 character password: DLDD   First digit can be chosen in 8 ways.   The letter can be chosen in 26 ways.   Next digit can be chosen in 7 ways.   Next digit can be chosen in 6 ways.   This gives us 8*26*7*6ways   Now, the letter can also be DDLD so there will be another 8*26*7*6 ways   Total = 8*26*7*6*2 = 17,472 ways 17,472
<result>B</result>
A four-character password consists of one letter of the alphabet and three different digits between 2 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?