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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 ≤ b}, how many elements are in R?
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 both (a+b=6) and (a<b)?
Class 11 · Mathematics
→If \(A=\{1,2,3,4\}\) and \(B=\{2,4,6,8\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a+b=10\)?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={1,3,5}), how many pairs ((a,b)) in (A\times B) have (a+b) odd?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={1,2,3}), how many elements are in the subset (R={(a,b):a+b=4}) of (A\times B)?
Class 11 · Mathematics
→If (A) has (4) elements and (B) has (3) elements, what is the number of non-empty subsets of (A\times B)?
Class 11 · Mathematics
→If \(A=\{1,2,3\}\) and \(A\times B\) has a total of \(15\) elements, what is the value of \(|B|\)?
Class 11 · Mathematics
→If A = {1,2,3} and B = {3,4,5}, how should the statement A × B = B × A be classified?
Class 11 · Mathematics
→If (A={1,2,3}), (B={4,5,6}), which among ((3,6)), ((4,5)), and ((2,4)) is not in (A\times B)?
Class 11 · Mathematics
→If (A\times B=\varnothing) and (B={7,8}), what is true about (A)?
Class 11 · Mathematics
→If (A={1,2}), (B={3,4}), and (A\times C={(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)}), what is (C)?
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) have (b) as a multiple of (a)?
Class 11 · Mathematics
→If A = {1,2,3} and B = {1,2,3,4}, how many pairs (a,b) in A × B have a + b divisible by 3?
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 (ab>8)?
Class 11 · Mathematics
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