If the number of elements in $(A-B)-C,(B-C)$ $\sim A,(C-A)-B$ and $A \cap B \cap C$ is $10,15,20$, and 5 respectively then the number of elements in $(A \Delta B) \Delta C$ is

JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

If the number of elements in

(A-B)-C,(B-C)

\sim A,(C-A)-B

and

A \cap B \cap C

10,15,20

, and 5 respectively then the number of elements in

(A \Delta B) \Delta C

View answer and explanation

Correct option: B

Option B (50) is correct because (A Δ B) Δ C represents the elements that belong to exactly one or all three of the sets, which sums to 50.