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The graduates of the Languages department at North Academy must have taken a class in French, Swahili, or Nepali (possibly more than one). There are

The graduates of the Languages department at North Academy must have taken a class in French, Swahili, or Nepali (possibly more than one).

There are 35 students who graduated this year. Of them, 18 took French, while only 5 had all 3 languages. Of those students that attended Swahili, twice as many took French as did not. Sixteen did not learn Nepali, while any student who attended French class also took Swahili.

(a) show a counting tree diagram for this situation. (b) Determine how many people took Swahili and Nepali, but not French.

(c) Findn(F(SNc)).

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