(a) Explain the purpose of Venn diagrams. (5 marks)
(b) A market study taken at a local sporting goods store, Maua Wahome Stores,
showed that, of the 200 people interviewed, 60 owned tents, 100 owned
sleeping bags, 80 owned camping stoves, 40 owned both tents and camping
stoves and 40 owned both sleeping bags and camping stoves.
Required:
If 20 people interviewed owned a tent, a sleeping bag and a camping stove,
determine how many people owned only a camping stove. In this case, is it
possible for 30 people to own both a tent and a sleeping bag, but not a
camping stove? (10 marks)