A group of 150 tourists in Goa visited a beach, a fort and a church. The note gives the total number who visited each place; the diagram shows only the overlaps. How many tourists visited exactly one of the three places?

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Accepted Answer

106. Beach only = 70 - 14 - 11 - 6 = 39, Fort only = 64 - 14 - 9 - 6 = 35, Church only = 58 - 11 - 9 - 6 = 32. Exactly one = 39 + 35 + 32 = 106. 124 forgets to take away the centre, 152 subtracts each overlap only once from the grand total, and 192 just adds the three totals.

A group of 150 tourists in Goa visited a beach, a fort and a church. The note gives the total number who visited each place; the diagram shows only the overlaps. How many tourists visited exactly one of the three places?

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