If A -1-2-3- B -4-5-6-7-8- C -4-8-12-16-20- then n - A - B - A - C -A- 16- 24- 30D- 12

The correct option is B 24A = {1, 2, 3}, B = {4, 5, 6, 7, 8}, C = {4, 8, 12, 16, 20} nbsp; (A × B) ∪ (A × C) = A × (B ∪ C) (B ∪ C)={4, 5, 6, 7, 8, 12, 16, ...

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Standard XII

Mathematics

Number of Elements in a Cartesian Product

If A =1,2,3, ...

Question

If $A = {1, 2, 3}, B = {4, 5, 6, 7, 8},$ $C = {4, 8, 12, 16, 20},$ then $n [(A \times B) \cup (A \times C)] =$

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Solution

The correct option is B $24$
$A = {1, 2, 3}, B = {4, 5, 6, 7, 8},$ $C = {4, 8, 12, 16, 20}$

$(A \times B) \cup (A \times C) = A \times (B \cup C) (B \cup C) = {4, 5, 6, 7, 8, 12, 16, 20}$

$∴ n [(A \times B) \cup (A \times C)] = n (A \times (B \cup C)) = n (A) \times n (B \cup C) = 3 \times 8 = 24$

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If A={1,2,3},B={4,5,6,7,8}, C={4,8,12,16,20}, then n[(A×B)∪(A×C)]=

The correct option is B 24A={1,2,3},B={4,5,6,7,8}, C={4,8,12,16,20} (A×B)∪(A×C)=A×(B∪C)(B∪C)={4,5,6,7,8,12,16,20} ∴n[(A×B)∪(A×C)]=n(A×(B∪C))=n(A)×n(B∪C)=3×8=24

If $A = {1, 2, 3}, B = {4, 5, 6, 7, 8},$ $C = {4, 8, 12, 16, 20},$ then $n [(A \times B) \cup (A \times C)] =$