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Class 11 · Mathematics

If (A={1,2}), (B={2,3}), (C={3,4}), what is the cardinality of ((A\times B)\cup(A\times C))?

Class 11 · Mathematics

If A = {1, 2, 3}, B = {2, 3, 4}, and C = {1, 3, 5}, what is |(A ∩ B) × C|?

Class 11 · Mathematics

If \(A=\{1,2\}\), \(B=\{3,4\}\), and \(C=\{5,6\}\), what is the cardinality of \((A\cup B)\times C\)?

Class 11 · Mathematics

If (A={1,2,3}) and (B={4,5}), what is true about the statement (A\times B\subseteq B\times A)?

Class 11 · Mathematics

If (A={1,2}) and (B={1,2}), which statement about (A\times B) and (B\times A) is correct?

Class 11 · Mathematics

If (A={1,3,5}) and (B={2,4,6}), what will (a+b) be for every pair ((a,b)) in (A\times B)?

Class 11 · Mathematics

If (A={1,2,3}) and (B={1,2,3}), how many pairs ((a,b)) in (A\times B) satisfy (a+b\ge5)?

Class 11 · Mathematics

If (A={1,2,3,4,5}) and (B={1,2,3}), how many pairs ((a,b)) in (A\times B) satisfy (a\le b)?

Class 11 · Mathematics

If \(A=\{1,2,3\}\) and \(B=\{2,4,6,8\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(b=2a\)?

Class 11 · Mathematics

If (A={2,4,6}) and (B={1,2,3}), how many pairs ((a,b)) in (A\times B) satisfy (\frac{a}{b}=2)?

Class 11 · Mathematics

If A = {1, 2, 3, 4} and B = {1, 2, 3, 4}, how many ordered pairs (a, b) in A × B satisfy a ≠ b?

Class 11 · Mathematics

If (A={1,2,3}) and (B={1,2,3}), how many diagonal pairs ((a,a)) are in (A\times B)?

Class 11 · Mathematics

If (A={0,1,2}) and (B={0,1,2,3}), how many pairs ((a,b)) in (A\times B) satisfy (a+b<3)?

Class 11 · Mathematics

If (A={1,2,3}) and (B={1,4,9}), how many pairs ((a,b)) in (A\times B) satisfy (b=a^2)?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={2,3,4,5}), how many pairs ((a,b)) in (A\times B) have (a) dividing (b)?

Class 11 · Mathematics

If (A={1,2,3,4,5}) and (B={1,2,3,4,5}), how many pairs ((a,b)) in (A\times B) satisfy (a+b=6)?

Class 11 · Mathematics

If \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs \((a,b)\) in \(A\times B\) have \(a+b\) even?

Class 11 · Mathematics

If (A={1,2,3}) and (B={4,5}), how many one-element relations are subsets of (A\times B)?

Class 11 · Mathematics

If (A={1,2}) and (B={3,4,5}), how many subsets of (A\times B) have exactly (2) elements?

Class 11 · Mathematics

If A = {0, 1}, B = {1, 2}, and C = {2, 3}, what is A × (B − C)?