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WORKBOOK





                                ACTIVITY:



                      Fill in the table given below.

                                       Number


                        Set          of Element/s               Subsets               Number of Subsets

                      A = ∅             n (A)=0                    ∅                    1           2 0


                      B = {1}           n (B)=1                  ∅,{1}                  2           2 1


                     C = {1,2}        n (C)=…….       ∅, ………………………………………..              4           2 2

                    D = {1,2,3}        n (D)=……        …...........................................   ……..   ……….





                   •  Number of subsets: The number of subsets of a set with n element is:…………..


                   •  All subsets of a set except itself is called ………………………..

                   •  Number of proper subsets: The number of proper subsets of a set with n element is:…………..


               Example 5: Find the number of subsets of the given sets

               a)  A = {a,b,c, d,e}

                                                                                        Empty set has

                                                                                        only one
               b)  B = {x |x < −2,x ∈ N}                                                subset.


               c)  C = {x| − 1 ≤ x < 3, ∈ Z}





               Example 6: Given that  B   ,1, 3, 4, ,9    .  Find the number of subsets and proper subsets of B.








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