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Class 11 · Mathematics
→If (A={2,4,6,8}) and (B={2,4,6}), how many pairs ((a,b)) in (A\times B) satisfy (\gcd(a,b)=2)?
Class 11 · Mathematics
→If (A={2,3,4}) and (B={6,8,9,12}), 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={1,4,9,16,25}), how many pairs ((a,b)) in (A\times B) satisfy (b=a^2)?
Class 11 · Mathematics
→If (A={1,2,3,4,5,6}) and (B={1,2,3}), how many pairs ((a,b)) in (A\times B) satisfy (a\ge2b+1)?
Class 11 · Mathematics
→If (A={0,1,2,3,4}) and (B={2,3,4,5}), how many pairs ((a,b)) in (A\times B) satisfy (a<b)?
Class 11 · Mathematics
→If \(A=\{1,2,3,4,5\}\) and \(B=\{2,4,6\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a+b=9\)?
Class 11 · Mathematics
→If \(A=\{a,b\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs are there in \(B\times A\)?
Class 11 · Mathematics
→If (A={1,2}), (B={3,4,5}), and (C={6,7}), what is (|A\times B\times C|)?
Class 11 · Mathematics
→Assume that \(\mathbb{N}=\{1,2,3,\ldots\}\). If \(A=\{x\in\mathbb{N}:3\le x\le 8\}\) and \(B=\{y\in\mathbb{N}:y\le 4\}\), what is the value of \(|A\times B|\)?
Class 11 · Mathematics
→If (A={3,5,7}) and (B={2,4,6}), which ordered pair in (A\times B) has first component (7) and second component (4)?
Class 11 · Mathematics
→If (A={1,2,3,4}), (B={2,3,4,5,6}), and (R={(a,b):b\ge a+2}), how many elements are in (R\subseteq A\times B)?
Class 11 · Mathematics
→If (A={1,2,3,4,5}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) have (a+b) divisible by (4)?
Class 11 · Mathematics
→If (A={1,2,3}), (B={1,2,3,4}), and (S={(a,b):b>a+1}), how many elements are in (S\subseteq A\times B)?
Class 11 · Mathematics
→If A = {1, 2, 3, 4, 5} and B = {2, 3, 4, 5}, how many ordered pairs (a, b) in A × B have a + b divisible by 2?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={1,2,3,4}), how many pairs in (A\times B) are other than the diagonal pairs ((a,a))?
Class 11 · Mathematics
→If (A={1,2,3}), (B={4,5}), and (C={6,7}), what is (|(A\times B)\times C|)?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={1,2,3,4,5,6}), how many pairs ((a,b)) in (A\times B) satisfy (ab\le8)?
Class 11 · Mathematics
→If (A={2,3,4}) and (B={4,6,8,9,12}), how many pairs ((a,b)) in (A\times B) have (b) divisible by (a)?
Class 11 · Mathematics
→If (A={1,2,3}), (B={1,2,3}), and (R={(a,b):a\le b}), how many elements are in (R)?
Class 11 · Mathematics
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