If A - a - b - p - B -2-3- C - p - q - r - s thenn - A - C - B - isA- 8B- 20C- 12D- 16

The correct option is C 12Given, A = a, b, p, B = 2, 3 and C = p, q, r, s ∴ nbsp;A ∪ C = a, b, p, q, r, s ⇒ n(A ∪ nbsp;B) = 6 and n(B) = 2 Now, n[(A ∪ nb ...

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Standard X

Mathematics

Number of Elements in Cartesian Product

If A = a , b ...

Question

If A = {a,b, p}, B = {2, 3}, C = {p,q,r,s} then
n [(A $\cup$ C) × B] is ____

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Solution

The correct option is C 12
Given, A = {a, b, p}, B = {2, 3} and C = {p, q, r, s}
$∴$ A $\cup$ C = {a, b, p, q, r, s}
$\Rightarrow$ n(A $\cup$ B) = 6 and n(B) = 2
Now, n[(A $\cup$ C) x B] = n(A $\cup$ B) x n(B)
= 6 x 2
= 12
$∴$ n[(A $\cup$ C) x B] = 12

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If A = {a,b, p}, B = {2, 3}, C = {p,q,r,s} then n [(A ∪ C) × B] is ____

The correct option is C 12Given, A = {a, b, p}, B = {2, 3} and C = {p, q, r, s} ∴ A ∪ C = {a, b, p, q, r, s} ⇒ n(A ∪ B) = 6 and n(B) = 2 Now, n[(A ∪ C) x B] = n(A ∪ B) x n(B) = 6 x 2 = 12 ∴ n[(A ∪ C) x B] = 12

If A = {a,b, p}, B = {2, 3}, C = {p,q,r,s} then
n [(A $\cup$ C) × B] is ____

The correct option is C 12
Given, A = {a, b, p}, B = {2, 3} and C = {p, q, r, s}
$∴$ A $\cup$ C = {a, b, p, q, r, s}
$\Rightarrow$ n(A $\cup$ B) = 6 and n(B) = 2
Now, n[(A $\cup$ C) x B] = n(A $\cup$ B) x n(B)
= 6 x 2
= 12
$∴$ n[(A $\cup$ C) x B] = 12