100 students were asked if they knew who any of the following are: Archimedes, Euclid and Descartes. How many students did not know any of the three Mathematicians, if the results are as follows: 52 students knew who Archimedes was, 43 students knew who Euclid was, 32 students knew who Descartes was, 13 students knew Euclid and Archimedes, 18 students knew who Archimedes and Descartes, 8 students knew who Euclid and Archimedes were but did not know who Descartes was, 14 students knew who Euclid and Descartes were*       a. All students knew the three Mathematicians.       b. Five of the students did not know any of the three Mathematicians.       c. Thirteen of the students did not know any of the three Mathematicians.       d. Fourteen of the students did not know any of the three Mathematicians.

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100 students were asked if they knew who any of the following are: Archimedes, Euclid and Descartes. How many students did not know any of the three Mathematicians, if the results are as follows: 52 students knew who Archimedes was, 43 students knew who Euclid was, 32 students knew who Descartes was, 13 students knew Euclid and Archimedes, 18 students knew who Archimedes and Descartes, 8 students knew who Euclid and Archimedes were but did not know who Descartes was, 14 students knew who Euclid and Descartes were*
 
 
 
a. All students knew the three Mathematicians.
 
 
 
b. Five of the students did not know any of the three Mathematicians.
 
 
 
c. Thirteen of the students did not know any of the three Mathematicians.
 
 
 
d. Fourteen of the students did not know any of the three Mathematicians.
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