Aspire Faculty ID #18400 · Topic: UGC NET Computer Science June 2023 (Paper II) · Just now
UGC NET Computer Science June 2023 (Paper II)

Match List I with List II
 LIST I LIST II 
 A Δ B (A - B) ∪ (A - C)
 A - (B ∪ C) (A - B) ∩ (A - C)
 A - (B ∩ C) (A - B) ∪ (B - A)
 A ∩ (B - C) (A ∩ B) - (A ∩ C)
Choose the correct answer from the options given below: 

Solution

• A Δ B:
○ This represents the symmetric difference between sets A and B. It includes all those elements which are in A and B but not in their intersection. Mathematically, it can be represented as (A - B) ∪ (B - A). So, A matches with III.

• A - (B ∪ C):
○ This represents all elements in A not in (B or C). Another way to represent it would be (A - B) ∩ (A - C) because it is the intersection of elements that are only in A and not in B or C. So, B matches with II.

• A - (B ∩ C):
○ This represents all elements in A that are not common to both B and C, or equivalently, the elements just in A and not in the intersection of B and C. So, C matches with I.

• A ∩ (B - C):
○ This represents the intersection of A and the elements in B not in C. It is equivalent to (A ∩ B) - (A ∩ C) because you're taking all elements in both A and B, then removing any elements that are also in C. So, D matches with IV.

Therefore, the correct option is A - III, B - II, C - I, D - IV. So, the correct option is 1).
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