Permutations And Combinations

Question
CBSEENMA11014035

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

Solution

            Event 1: A coin is tossed and the outcomes recorded.
                    
            Number of outcomes open curly brackets straight H. space straight T close curly brackets space equals space 2
rightwards double arrow                                      m = 2
Event 2: The coin is tossed again and the outcomes recorded.
            Number of outcomes open curly brackets straight H comma space straight T close curly brackets space equals space 2
rightwards double arrow                                       n = 2
Event 3: The coin is tossed third time and the outcomes recorded.
           Number of outcomes open curly brackets straight H comma space straight T close curly brackets space equals space 2
rightwards double arrow                                           p = 2
∴  By fundamental principle of counting, the total number of outcomes recorded
                                                     = straight m cross times straight n cross times straight p space equals space 2 cross times 2 cross times 2 equals 8


   

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