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Class 11 · Mathematics

If A={1,2,3,4} and B={1,2,3}, how many ordered pairs in the Cartesian product A×B satisfy a+b≤5?

Class 11 · Mathematics

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

Class 11 · Mathematics

If \(A=\{1,2,3,4\}\) and \(B=\{1,4,9,16\}\), how many ordered pairs \((a,b)\) in \(A \times B\) satisfy \(b>a\)?

Class 11 · Mathematics

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

Class 11 · Mathematics

If (A={1,2,3}), (B={2,3,4}), what is (A\times(B\setminus A))?

Class 11 · Mathematics

If \(A=\{1,2,3,4\}\), \(B=\{2,4,6\}\), and \(C=\{1,2,4\}\), how many elements does \((A\cap C)\times(B\cap C)\) contain?

Class 11 · Mathematics

If (A={1,2}), (B={3,4}), and (C={5,6}), how many elements are in ((A\cup B)\times C)?

Class 11 · Mathematics

If (A={1,2,3}) and (B={x,y}), which set is not a subset of (A\times B)?

Class 11 · Mathematics

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

Class 11 · Mathematics

If A = {1, 2, 3, 4}, how many ordered pairs in A × A satisfy a + b = 5?

Class 11 · Mathematics

If \(A=\{1,2,3\}\) and \(B=\{1,2,3\}\), how many ordered pairs \((a,b)\) in the Cartesian product \(A\times B\) satisfy \(a\ne b\)?

Class 11 · Mathematics

If \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a^2+b^2=25\)?

Class 11 · Mathematics

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

Class 11 · Mathematics

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

Class 11 · Mathematics

If (n(A)=3) and (n(B)=2), how many relations from (A) to (B) are possible?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={1,2,3,4}), how many subsets of (A\times B) contain exactly (2) ordered pairs?

Class 11 · Mathematics

If (A={1,2,3}), (B={1,2,3}), and (R={(a,b)\in A\times B:a+b=4}), what is (R)?

Class 11 · Mathematics

If (A={1,2,4}) and (B={1,2,4,8}), how many pairs in (A\times B) satisfy (ab=8)?

Class 11 · Mathematics

If A = {-2, -1, 0, 1, 2} and B = {0, 1, 4}, how many pairs in A × B satisfy b = a²?

Class 11 · Mathematics

If \(A=\{0,1,2,3\}\) and \(B=\{0,1,4,9\}\), how many ordered pairs in \(A\times B\) satisfy \(b=a^2\)?