If set A has 3 elements and set B = {a, b, c}, then find the number of elements in (A x B)

If G = {7, 8} and H = {5, 4, 2}, find G × H and H × G

Let A = {1, 2, 3}  and b = {4, 5}. Find A x B and B x A. Show that

State whether the following statements are true or false. If the statement is false, rewrite it correctly :

(i) P = {1, 2}, Q = {2, 1}, then Q x P = {(1, 2), (2, 1)}

(ii) A = {2, 4, 6}, B = {5, 6, 8}, then 

(iii) If A = {4, 5, 6}, B = {1, 2, 3}, C = {4, 5, 8}, then 

(iv) If A = {1, 2}, B = {1, 2, 4, 5} then 

Let A = {2, 3}, B = {1, 5} and C = {2, 4} find

(i) A x A x A              (ii) A x B x C                   (iii) B x C x A

Let n(A x B x C) = 42, n(B x C) = 7, then find n(A)

Let n(A) = 4, n(B) = 3, n(B x C) = 9, then find n(A x B x C)

A, B , C are the sets such that n(A) = 2, n(B) =3 and n(C) = 3. if (2, x, 3), (3, y, 4), (2, z, 4) and  and x, y, z are all distinct, find sets A, B and C. aAlso Find n(A x B x C).

39.

Let A = {1,2,3}, B = {2,3,4,5}. State as to which of the following sets R represents a relation of set A into set B ?

If R represents a relation, mention its domain and range.

(a) R = {(1, 2), (1, 3), (2, 2)}

(b) R = {(2, 1), (1, 3), (4, 3)}

(c) R = {(1, 2), (2, 3), (3, 4), (3, 2)}

(d) R = {(1, 1), (1, 4), (1, 5), (2, 3)}

(e) R = {(3, 2), (3, 3), (3, 4), (3, 5)}

Let A = {1,2,3,4,5,6,7,8}. Let R be a relation defined by : R = {(a, b): a ∊ A,b ∊ A, a divides b}

(i) Write R in the Roster form.

(ii) Determine the domain and range of R.