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The problem provides information about a class of 25 boys and their textbook ownership. Let E be the set of boys with English books, F with French books, and M with Mathematics books.

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The problem provides information about a class of 25 boys and their textbook ownership. Let EE be the set of boys with English books, FF with French books, and MM with Mathematics books.

Given data:

  • Total boys in class: N=25N = 25
  • Number of boys with English books: ∣E∣=19|E| = 19
  • Number of boys with French books: ∣F∣=17|F| = 17
  • Number of boys with Mathematics books: ∣M∣=15|M| = 15
  • Number of boys with English and French books: ∣E∩F∣=16|E \cap F| = 16
  • Number of boys with French and Mathematics books: $|
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