# probability

May 29th, 2016
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questions on probability with the solutions

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ASSIGNMENT #2COUNTING TECHNIQUES AND PROBABILITYCounting techniquesQ1. There are 4 buses running between two cities. In how many ways can a man go from onecity to other and comes back by a different bus.Q2.How many lunches are possible consisting of soup, sandwich and drink if one can selectfrom 4 soups, 3 kinds of sandwiches and 2 soft drinks.Q3.In how many ways can a cricket eleven be chosen out of 14 players? How many of themwill (i) include a particular player (ii) exclude a particular playerQ4. A man has 4 suits, 3 ties and 2 pairs of shoes. In how many different ways can he dress up.Q5.A person travels from Karachi to Lahore and comes back to Karachi, 5 trains are available.In how many ways he can commute such that: (i) he does not like to return by the sametrain(ii) he does not mind to return by the same train.Q6. How many fractions can be made using the number 2, 3, 5,7,11 and 13?Q7. There are 3 men and 2 women. In how many ways they can sit alternately.Q8.Seven players of Pakistans hockey team can play in any of the five forward line position,how many ways can these position be filled.Q9.Four people enter in a bus in which 6 seats are vacant. In how many ways can they beseated?Q10.In how many ways can 8 mangoes of different sizes be distributed among 8 boys ofdifferent ages so that the largest one is always given to the youngest boy?Q11.In how many ways 4 mathematics, 5 statistics and 7 English books can be arrangedon a shelf in a r

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