A three-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 options
A) 4,680
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.   This gives us 10*26*9ways   Now, the letter can also be DDLD so there will be another 10*9*26 ways   Total = 10*26*9*2= 
<gadget id="calculator">10*26*9*2</gadget>
<output>4_680</output>
4680 ways 4,680
<result>A</result>
A three-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?