ITPEC FE Morning October 2023 Question 1

Source exam: ITPEC FE Morning October 2023Topic: Basic Theory & Math

ITPEC FE Morning October 2023 — Question 1 of 80

Sets & Inclusion-Exclusion — find total class size using set union.

Given: |A| = 13, |B| = 19, |A ∩ B| = 8, neither = 7.

  • •Union: |A ∪ B| = 13 + 19 - 8 = 24
  • •Total: 24 + 7 = 31

Answer: b) 31

Why not others:
- (a) 17 — arithmetic error or double-subtracting the intersection
- (c) 33 — forgetting to subtract the intersection
- (d) 47 — naïvely summing all four numbers without exclusion

Key rule: |A ∪ B| = |A| + |B| - |A ∩ B|, then add those in neither set.

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