How manyfour character codes can be generated if the first character

mustbe a letter, the next two letters must be numbers, and the

lastcharacter must be a 1, 3, or 7?

Answer: 7800

Step-by-step explanation:

As English alphabet has 26 letters.

So, Choices for First character in the code = 26

The choices for digits = 10 (From 0 to 9)

So, choices for second character = 10 (Middle two characters must be numbers)

choices for third character = 10 (Middle two characters must be numbers)

Choices for last character = 3 (the last character must be a 1, 3, or 7)

By Fundamental principle of counting, the total number of four character codes can be generated =

(Choices for First character) x (choices for digits) x (choices for digits) x (Choices for last character)

= (26) (10) (10) (3) = 7800

Hence, the total number of character codes can be generated = 7800