Serial numbers for an item produced in a factory are to be made using two letters followed by four digits (0 to 9). If the letters are to be taken from twenty six letters of English alphabet without repetition and the digits are also not repeated in a serial number, how many serial numbers are possible?

How many different numbers of 4 digits each can be formed with the ten digits 0,1,2,…9 when digits are not repeated?

A code consists of two letters of the alphabet followed by 5 digits .How many such codes are possible ?

How many different car licence plates can be constructed, if the licences contain three letters of the English alphabet followed by a three digit number, if repetition are allowed?

A code word consists of three letters of the English alphabet followed by two digits of the decimal system. If neither letter nor digit is repeated in any code word, then the total number of code words, is

How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?

How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?

How many 5-digit numbers can be formed using the digits 0,1,2,3, and 4 if the digits can be repeated in a number?

A five letter word is to be formed such that the letters appearing in the odd numbered positions are taken from the letters which appear without repetition in the word MATHEMATICS. Further the letters appearing in the even numbered positions are taken from the letters which appear with repetition in the same word MATHEMATICS. The number of ways in which the five letter word can be formed is:

How many numbers can be formed with the digits 0,1,3,5 by using at least one digit when repetition of digits is not allowed?

Find the number of numbers of four digits that can be made from the digits 0,1,2,3,4,5 if digits can be repearted in the same num,ber. How many of these numbers have at least one digit repeated?