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ASAP

Out of 18 students who study French, German, or both, 13 study French, 5 study only German
and 6 study both.
Draw a Venn diagram below to show the two sets.

1 Answer

3 votes

Answer:

Here is a Venn diagram that represents the given:


F B

\ /

\ /

\ /

/ \

/ \

/ \

G B


In this diagram, F represents the set of students who study French, G represents the set of students who study German, and B represents the set of students who study both French and German.

The information given tells us that 13 students study French, 5 study only German, and 6 study both French and German. Therefore, we can place 13 in the region for F, 5 in the region for G, and 6 in the overlapping region for B. The total number of students is 18, so we can calculate the number of students who study only French as 13 - 6 = 7, and the number of students who study only German as 5 - 6 = -1 (which doesn't make sense in this context, so we can ignore it).

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