A committee of 2 boys is to be selected from 4 boys. In how many ways can this to be done?

  In a meeting after every one had shaken hands with every one else, it was found that 66 hand shakes were exchanged. How many members were present at the meeting?

  In an examination, a student is to answer 4 questions out of 5. Question 1 and 2 are, however, compulsory. Determine the numbers of ways in which the students can make the choice.

  In an examination paper on mathematics 10 questions are set. In how many different ways can choose 6 questions to answer? If, however, questions number 1 is made compulsory, in how many ways can you select to answer 6 questions in all?

  We wish to select 6 persons from 8, but if the person A is chosen, then B must be chosen. In how many ways can the selection be made?

  Determine the number of 5-card combination out of a deck of 52 cards if each selection of 5 cards has exactly one king.

  A father with eight children takes them 3 at a time to zoological garden as often as he can take without the same three children together more than once. How often will each child go? How often will the father go?

  In how many ways can a cricket eleven be selected out of 15 players? (a) In how many of them a particular player be excluded? (b)In how many of them will he be included ?

  In how many ways can we select a cricket eleven from 17 players in which only 5 players can bowl if each cricket eleven must include exactly 4 bowlers?

  A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected from lot.