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For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer.

  1. Coffee or tea comes with dinner.
  2. A password must have at least three digits or be at least eight characters long.
  3. The prerequisite for the course is a course in number theory or a course in cryptography.
  4. You can pay using U.S. dollars or euros.
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Coffee or tea comes with dinner : Exclusive OR
A password must have at least three digits or be at least eight characters long : Inclusive OR
The prerequisite for the course is a course in number theory or a course in cryptography : Inclusive OR

You can pay using U.S. dollars or euros : Exclusive OR

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a) Coffee or tea comes with dinner.

Answer: Exclusive. One of the hot drinks can be served with dinner.

b) A password must have at least three digits or be at least eight characters long.

Answer: Inclusive. A password can contain both digits and characters.

c) The prerequisite for the course is a course in number theory or a course in cryptography.

Answer: Inclusive. Student willing to take the course has to pass one of them. It is possible that he/she passed both.

d) You can pay using U.S. dollars or Euros.

Answer: Exclusive. Combination of currencies is not acceptable. Customer can pay either using U.S. dollars or Euros

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