Question

A={a,b,p},B={2,3},C={p,q,r,s} then n[(AUC)×B]is
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Answer 1

AUC = {a,b,p,q,r,s}

(AUC)×B = {(a,2),(b,2),(p,2),(q,2),(r,2),(s,2),(a,3),(b,3),(p,3),(q,3),(r,3),(s,3)}

n[(AUC)×B] = 12

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Answer 2

Answer:

12

Step-by-step explanation:

Given that

B = {2,3}

A = {a,p,b} and C = {p,q,r,s}

A ∩ B = {p}

⇒ n(A) = 3, n(B) = 2, n(C) = 4, n(A ∩ C) = 1

We know that,

n(A ∪ C) = n(A) + n(C) - n(A ∩ C)

⇒n(A ∪ C) = 3+4-1=6

If n(X) = p and n(Y) = q then we have n(XxY) = pq,

⇒ n[(AUC)×B] = n((AUC)) × n(B) = 6×2 = 12

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