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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
26 091math-wb-w3-(sets)