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Given a survey of 75 people about possessing National Identity Cards (N), Driving Permits (D), and Passports (P). 13 had none. If |P|=30 and |N D P|=3, find the number of people with at least one docu

Mathematics

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Question 1: Probability and Set Theory

Let NN represent National Identity Card, DD represent Driving Permit, and PP represent Passport.
Total people interviewed = 75.
People who did not have any of the three documents = 13.
So, the number of people with at least one document, ∣N∪D∪P∣=75−13=62|N \cup D \cup P| = 75 - 13 = 62.

Given information:

  • ∣P∣=30|P| = 30 (total people with Passport)
  • ∣N∩D∩P∣=3|N \cap D \cap P| = 3 (people with all three documents)
  • $
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