Question

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

1) 8 2) 20 3) 12 4) 16​

Answer 1

n [ ( A ∪ C ) X B] = 12

Step-by-step explanation:

n [ ( A ∪ C ) X B]

First find A U C

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

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

Now, find (AUC) x B

(AUC)xB = {a, b, p, q, r, s} x { 2 , 3}

= {(a,2), (a,3), (b,2), (b,3), (p,2), (p,3), (q,2),

(q,3), (r,2), (r,3), (s,2), (s,3)}

Then the order

n [ ( A ∪ C ) X B] = 12

Hope it helps

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