Sets - Bounds on Set Cardinalities

Sets - Bounds on Set Cardinalities

IP 2

There are 35 customers at a dessert shop on one afternoon. 20 customers ordered chocolate cake and 15 ordered strawberry yoghurt. Find

  1. the greatest number of customers who could have ordered both desserts,
  2. the least number of customers who could have ordered only the chocolate cake,
  3. the greatest number of customers who ordered neither the chocolate cake nor the strawberry yoghurt.

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Answer:(i) \(15\) (ii) \(5\) (iii) \(15\)

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