How many options are there for license plate numbers if each license plate can include 2 digits and 3 letters (in that order), or 3 digits and 2 letters (in that order)? (Note: there are 26 letters in the alphabet)
Select the correct option
A) 37×260^2  B) 36×260^2  C) 36×270^2  D) 10^2×26^3  E) 10^3×26^2
We are given that License plate could be either of the form DDLLL or DDDLL   Now, every D could be filled in 10 ways and every L could be filled in 26 ways.   or Number of ways for DDLLL = 10 * 10 * 26 * 26 * 26 --(1)   Number of ways for DDDLL = 10 *10*10*26*26 --(2)   Total ways = (1) +   (2)   = \(36×260^2\)   Answer s 36×260^2.
<result>B</result>
How many options are there for license plate numbers if each license plate can include 2 digits and 3 letters (in that order), or 3 digits and 2 letters (in that order)? (Note: there are 26 letters in the alphabet)