Back to Questions

Find  the  total  number  of  distinct  vehicle  numbers  that  can  be  formed  using  two letters followed by two numbers. Letters need to be distinct.









 Hide Ans

Option(B) is correct

Out of $26$ alphabets two distinct letters can be chosen in ${^{26}P_2}$ ways.

Coming to numbers part, there are $10$ ways (any number from $0$ to $9$ can be chosen) to choose the first digit and similarly another $10$ ways to choose the second digit.

Hence, there are totally $10×10 = 100$ ways.

Combined with letters there are ${^{26}P_2}× 100 = \textbf{65000}$ ways to choose vehicle numbers.

(1) Comment(s)


Why can't the alphabets be same. Why should be they distinct.

(eg. AA00)

26 X 26 X 10 X 10 = 67600