Holidays

Of the 35 students in the class, were seven on holiday in Germany and just as many in Italy. Five students visited Austria. In none of these countries were 21 students. One student visited all three. In Italy and Austria were two students and in Austria and Germany was one student. How many students visited Germany or Italy (a), Austria or Italy (b), Germany or Austria (c)?

Correct answer:

a =  11
b =  9
c =  10

Step-by-step explanation:

I=7 N=7 R=5 IR=2 RN=1 INR=1  I+N+RINRx110=3521 7+7+51x110=3521  x=2  x=12=2  x=2  a=N+IxINR=7+721=11
b=I+R21=7+521=9
c=N+R11=7+511=10   Verifying Solution:  t=3+2+1+1+0+4+3+21=35



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