How many 3 letter words can be made using the letters of the words ORIENTAL?

  Six candidates are called for interview to fill four posts in an office. Assuming that each candidate is fit for each post, determine the number of ways in which first and second posts can be filled.

  It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?

  How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and constants occur together?

  Find the number of different 8-letter arrangements that can be made from the letters of the word DAUGHTER so that all vowels never occur together?

  In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?

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

  How many numbers greater than 40,000 can be formed using the digits 1,2,3,4, and 5 if each digit is used only once in each number?

  Ten horses are running a race. In how many ways can these horses come in the first, second and third place, assuming no ties?

  Seven songs are to be rendered in a programme. In how many different orders could they be rendered?