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Class 11 · Mathematics
→If (A={1,2,3}), (B={4,5}), and (C={5,6}), what is the cardinality of ((A\times B)\cup(A\times C))?
Class 11 · Mathematics
→If (A={1,2}), (B={2,3}), and (C={3,4}), what is the cardinality of ((A\times B)\cap(A\times C))?
Class 11 · Mathematics
→If A = {0,1,2}, B = {1,2,3}, and C = {2,3,4}, what is A × (B − C)?
Class 11 · Mathematics
→If \(A=\{1,2,3,4\}\), \(B=\{1,2,5\}\), and \(C=\{2,4,5\}\), what is the value of \(|A\times(B\cap C)|\)?
Class 11 · Mathematics
→If A = {1,2,3}, B = {2,3,4}, and C = {3,4,5}, what is |A × (B ∪ C)|?
Class 11 · Mathematics
→If (|A|=2) and (|B|=5), what is the number of possible relations from (A) to (B)?
Class 11 · Mathematics
→If (|A|=3), (|B|=4), and (R\subseteq A\times B), in how many ways can (R) have exactly (3) elements?
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 (\gcd(a,b)=2)?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={2,3,4,5}), how many pairs ((a,b)) in (A\times B) have (a) dividing (b)?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={1,4,9,16}), how many pairs ((a,b)) in (A\times B) satisfy (b=a^2)?
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
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