Mathematics 1 Deneme Sınavı Sorusu #1403336

In a touristic group, 10 tourists can speak English, 15 tourists can speak German, 9 tourists can speak both English and German, and 3 tourists can speak neither English nor German. Find the number of tourists in this group.


16

17

18

19

20


Yanıt Açıklaması:

E ∪ G = {x| x is a tourist who can speak English or German}

E ∩ G = {x| x is a tourist who can speak both English and German}

Then

s(E ∪ G) = s(E) + s(G) – s(E ∩ G)= 10 + 15 – 9 = 16.

Additionally, 3 tourists can speak neither English, nor German. Therefore, the total number of tourists is 16 + 3 = 19.

Correct answer is D.

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