Question

If A and B are disjoint sets then n(AB) = n(A) + n(B). This statement is

a. True b. False​

Answer 1

Step-by-step explanation:

Since they both are disjoint sets and have no elements in common the number of elements in the union set will be the sum of the number of elements in A and number of elements in B. using formula it can be explained as follows: n(A U B)= n(A)+ n(B)- n(A intersection B).

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If A and B are disjoint sets then n(A ∪ B) = n(A) + n(B). This statement is

a. True

b. False

EVALUATION

Here it is given that A and B are disjoint sets

So A and B has no common element

A ∩ B = Φ

∴ n( A ∩ B) = 0

Now we have

n( A ∪ B) = n(A) + n(B) - n( A ∩ B)

⇒ n( A ∪ B) = n(A) + n(B)

So the statement is true

FINAL ANSWER

Hence the correct option is a. True

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