Ravi have 10 balls of different size but 5 are red coulered 3 are black and 2 are white. He put all balls in 3 different box, all red in box R, all white in box W and all black in box B such that R = {R₁, R₂, R₃, R₄, R₅}, B = {B₁, B₂, B₃}, W = {W₁, W₂}.

Question

CASE_STUDIESPower Set of a SetCartesian Product of Two SetsNumber of Subsets of a Finite Set4 sub-questions

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If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

Let A = {1,2,3}, B = {3,4} and C = {4,5,6}. Find

If P = {1, 2}, form the set P × P × P.

TextCartesian Product of Two Sets

If A × B ={(p, q),(p, r), (m, q), (m, r)}, find A and B.

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

State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.