A) There are 100 students in Language school. They study one or several languages. We know: 48 – study English 26 – study French 28 – study German 8 – study English and German 8 – study English and French 13 – study French and German 24 –study neither French nor German nor English Draw a Venn Diagram to illustrate sets of students studying languages. How many students study 3 languages at the same time: French, German and English?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A) There are 100 students in Language school. They study one or several languages. We know:
48 – study English
26 – study French
28 – study German
8 – study English and German
8 – study English and French
13 – study French and German
24 –study neither French nor German nor English

Draw a Venn Diagram to illustrate sets of students studying languages.
How many students study 3 languages at the same time: French, German and English?

 

B)

25 athletes are participating in jumping competition. They are of different nationality:
8 from Argentina
6 from Brasil
5 from Paraguay
6 from Uruguay
To determine an order in which athletes participate, lot is drawn. Find out the probability that last athlete to participate is from Argentina.

 

 

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