SOLUTION: Seventy tourists out of a group of 100 speak German 45 speak French and 23 speak both German and French. How many tourists in the same group speak neither German or French. Use set
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Question 1053404: Seventy tourists out of a group of 100 speak German 45 speak French and 23 speak both German and French. How many tourists in the same group speak neither German or French. Use set notations Answer by ikleyn(52803) (Show Source):
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Seventy tourists out of a group of 100 speak German 45 speak French and 23 speak both German and French.
How many tourists in the same group speak neither German or French. Use set notations
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Let G be the set of tourists speaking German, and n(G) is the number of people in this set ( n(G) = 70 ).
Let F be the set of tourists speaking French, and n(F) is the number of people in this set ( n(F) = 45 ).
Let FnG be the intersection of F and G. n(FnG) = 23.
Then the number of those who speal German OR French is the union of F and G and
n(F U G) = n(F) + n(G) - n(FnG) = 70 + 45 - 23 = 92.
Then the number of those who speaks neither German or French is 100 - 92 = 8.
Answer. 8.
