Ram proposes to go to his friend Ali’s house in a town which is connected with his village by three different routes. From there he will go to the city where his uncle lives. The city is connected with the town by two different routes. List out the various possible routes which Ram can choose from his village to go to the city.

  If there are 20 steamers playing between places A and B, in how many ways could the round trip from A be made if the return was made on 1) The same steamer, 2) a different steamer?

  A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?

  How many 4-letter codes can be formed using the first 10 letters of the English alphabet; if no letter can be repeated?

  How many 3-letter code words are possible using the first 10 letters of England alphabet if 1) No letter can be repeated?) 2) Letters are repeated?

  How many 5-digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?

  How many 3-digit even numbers can be formed from the digits 1, 2, 3,4,5,6 if the digits can be repeated?

  A class consists of 40 girls and 60 boys. In how many ways can a president, vice president, treasurer and secretary be chosen if the treasure must be a girl,the secretory must be a boy and a student may not hold more than one office?

  Eight children are to seated on a bench. 1) In how many ways can the children be seated? 2) How many arrangements are possible if the youngest child sits at the left hand end of the bench?

  Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?