SOLUTION: Dear respectful Tutor, I am ask for you to solve problems please. Part (1) a) A coin is tossed 3 times. Each toss results in head or tail. Find the number of possible outcomes

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Question 1172298: Dear respectful Tutor, I am ask for you to solve problems please.
Part (1)
a) A coin is tossed 3 times. Each toss results in head or tail. Find the number of possible outcomes (result) for the 3 tosses. Illustrate these outcomes using a tree diagram.
b) There are 3 feeder bus services plying to and from the nearby town center. George can ride on one of these services or walk to the town center. However, he decides that on this way back, he will ride on one of these services. In how many ways can he go to the town center and back?
c) Susan has to do the following during take lunch, post letter, go to the bank and buy the afternoon papers. In how many ways can she do all these?
d) Six men and five women are available to form a mixed double pair for a tennis match. How many pairs are possible?
Part (2)
a) Three friends decided to have dinner together and then go shopping. Five restaurants are proposed for the dinner and four nearby shopping centers are suggested. How many possibilities are there?
b) Eight people have been shortlisted for an interview. In how many ways can the interviewer see them one after another?
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.

Part (1) 

(a)  6 outcomes are possible with the first die;

     6 outcomes are possible with the second die;

     6 outcomes are possible with the third die.


     Combining these independent outcomes, we have  6*6*6 = 216  possinle combinations, in all.    ANSWER



(c)  Any one of the three activities first.

     Any one of the remaining 2 activities next.

     One single remained activity, finally.


     3*2*1 = 6 possible ways to manage all her duties/plans.


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