how many distinct license plates are there consisting of two letters other than O,I, and S(to prevent possible visual confusion with similar-looking digits), followed by four digits? Solution It is a basic permutation and combination problem: From given question, we learned 2 letters (preventing O,I,S) followed by 4 digits. so the license plate contain 6 literals(2 alphabets and 4 digits). Example : aadddd (a - alphabet , d - digit) There will be 26 Alphabets(A,B,C....Z) and 10 digits(0,1,2,3,4,5,6,7,8,9) Next it is followed by 4 numbers i.e 10*10*10*10 = 10000 Finally, Hence in Question they didnt mention repetation or not. so solved both cases. .