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Class 11 · Mathematics
→If (A={1,2,3}) and (B={1,2,3,4}), how many pairs in (A\times B) satisfy (a<b)?
Class 11 · Mathematics
→If (A={0,1,2}) and (B={-1,0,1}), how many pairs in (A\times B) satisfy (ab=0)?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={2,4,6}), how many pairs in (A\times B) satisfy (a\mid b)?
Class 11 · Mathematics
→If (A={x:x\in\mathbb{N},x\le 5}) and (B={y:y\in\mathbb{N},y\text{ is prime},y<10}), how many pairs in (A\times B) have (a+b) even?
Class 11 · Mathematics
→If (A={1,2}) and (B={2,3}), what is (A\times B\cap B\times A)?
Class 11 · Mathematics
→Under which condition is (A\times B=B\times A) definitely true?
Class 11 · Mathematics
→If (A) has (m) elements and (B) has (n) elements and (n(A\times B)=n(B\times A)), choose the correct statement.
Class 11 · Mathematics
→If (A={a,b,c}), (B={1,2}), and (C={p,q,r,s}), what is (n((A\times B)\times C))?
Class 11 · Mathematics
→If (A\times B={(1,2),(1,3),(4,2),(4,3)}), what are (A) and (B)?
Class 12 · Mathematics
→If \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\), and \(R=\{(x,y)\in A\times B:y=x+2\}\), what is \(R\)?
Class 11 · Mathematics
→If (A={1,2,3,4}), (B={2,4,6}), (C={3,4,5}) and (D={4,6,8}), how many elements are in ((A\times B)\setminus(C\times D))?
Class 11 · Mathematics
→If (A={1,2,3,4,5}) and (B={1,2,3,4,5}), how many pairs ((x,y)) in (A\times B) satisfy (x+y=xy)?
Class 12 · Mathematics
→If \(A=\{1,2,3,4\}\) and \(B=\{1,3,5,7\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(y=2x-1\)?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={1,2,3,4}), how many pairs ((x,y)) in (A\times B) have (x+y) divisible by (3)?
Class 11 · Mathematics
→If (A={2,3,5}) and (B={4,6,10,15}), how many pairs ((x,y)) in (A\times B) satisfy (\gcd(x,y)>1)?
Class 11 · Mathematics
→If A={1,2,3}, B={1,2,3}, and U=A×B, how many pairs in U satisfy x≠y?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={2,4,6,8}), how many pairs ((x,y)) in (A\times B) have (y) as a multiple of (x)?
Class 11 · Mathematics
→If (A={1,2,3}), (B={2,3,4}), and (T={(x,y)\in A\times B:x+y\text{ is prime}}), what is (n(T))?
Class 11 · Mathematics
→If (A={1,2,3,4,5}) and (B={1,4,9,16,25}), how many pairs ((x,y)) in (A\times B) satisfy (y=x^2) and (x) is odd?
Class 11 · Mathematics
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