Page 9 - Mathematics Class - XI
P. 9

Unit I                                                Sets and Functions
                                                               Sets and Functions



                                                     TOPIC - 1:  Sets



                                                     ACTIVITY 1.1





        OBJECTIVE
        To find the number of subsets of a given set and verify that if a set has n number of elements, then the total number
        of subsets is 2 .
                      n

        MATERIAL REQUIRED
            Paper                            Different coloured pencils


        PRE-REQUISITE KNOWLEDGE
            1.  Knowledge of sets and their types                  2.  Knowledge of subsets


        PROCEDURE
            1.  Take an empty set (say) A  which has no element.  It is also represented by φ.
                                        0





                                                             A 0

                                                           Fig. (a)
            2.  Take a set (say) A  which has only one element a  in it.
                                 1                            1
                A  = {a }
                 1
                       1
                                                             •a
                                                               1




                                                             A
                                                               1
                                                           Fig. (b)

            3.  Take a set (say) A  which has two elements a  and a  in it.
                                 2                         1     2
                A  = {a , a }
                 2     1  2
                                                             •a 2
                                                             •a 1








                                                             A
                                                               2
                                                            Fig. (c)
                                                                                                                 7
   4   5   6   7   8   9   10   11   12   13   14