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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\ge2b)?
Class 11 · Mathematics
→If (A={0,1,2,3}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) satisfy (a<b)?
Class 11 · Mathematics
→If A = {1, 2, 3, 4} and B = {2, 4, 6}, how many ordered pairs (a, b) in A × B satisfy a + b = 8?
Class 11 · Mathematics
→If A = {a, b, c} and B = {1, 2}, how many elements does B × A have?
Class 11 · Mathematics
→If (A={1,2,3}), (B={4,5}), and (C={6,7,8}), what is (|A\times B\times C|)?
Class 11 · Mathematics
→If A = {x : x ∈ N, 2 ≤ x ≤ 6} and B = {y : y ∈ N, y is odd, y < 8}, what is |A × B|?
Class 11 · Mathematics
→If (A={2,4,6}) and (B={1,3,5}), which pair in (A\times B) has first component (4) and second component (5)?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) satisfy (|a-b|=2)?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={1,2,3,4,5}), how many pairs ((a,b)) in (A\times B) satisfy (a+b\le5)?
Class 11 · Mathematics
→If \(A=\{1,2,3\}\) and \(B=\{2,3,4,5\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(b-a\) is even?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) have (a) and (b) coprime?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) satisfy (ab\le6)?
Class 11 · Mathematics
→If \(A=\{0,1,2,3\}\) and \(B=\{0,1,2\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(a+b\) is odd?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={2,3,5,7}), how many pairs ((a,b)) in (A\times B) have (a+b) prime?
Class 11 · Mathematics
→If \(A=\{1,2,3,4\}\) and \(B=\{1,2,4,8\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(b=2^a\)?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={1,2}), how many pairs ((a,b)) in (A\times B) satisfy (a-b=1)?
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
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