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WORKBOOK

                                                       EXERCISE 3

                                                        
               1)  If  A B   x,y,z,t andB C  y,t,m,n,p ,   5)  If  A   Band  (n  A B )  15and
                   find the number of elements of the set          ( n  A  ) B   7 , find the least possible
                   (A  C)  B .                                 value of n(A).










               2)  Let A and B be any two sets. If                 A  x 40 x 200,x 4n,n       
                   n(A B) 4.n(A   B), n(A) 20  and        6)  If  B  y 72 y 180,y 6k,k         , find
                   n(A)=n(B), find  (An    ) B .
                                                                  n (A   ) B .









               3)  Let A and B be any two sets. If            7)  The number of subsets of the set A is
                   n(A) 5,n(B) 4,andA     B   , find the    256 and the number of proper subsets

                   least possible value of the number of         of the set B is 127. If  A B , find the
                   elements of the set  A  .                    greatest possible value of the number of
                                          B
                                                                 elements of  A B .












                                                                                                  
               4)  If the product of the number of subsets    8)  If  A  positive integer divisors of p , find
                                                                     p
                   and number of proper subsets of the set       the number of the elements of the set
                   A is 992, find the number of elements of       A   A .
                   this set.                                       24   60









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