Question

Suppose that 100 of the 120 Mathematics students at a college take at least one of the language French German and Russian Also
suppose: 65 study French 45 study German 42 study Russian 20 study French and German 25 study French and Russian 15 study
German and Russian​

Answer 1

Answer:8

Step-by-step explanation:

Let F = set of French language students, G = set of German language students, R = set of Russian language students

Given: n(F union G union R) = 100

n(F) + n(G) + n(R) - n(F intersect G) - n(G intersect R) - n(R intersect F) + n(F intersect G intersect R) = 100

65 + 45 + 42 - 20 - 15 - 25 + n(F intersect G intersect R) = 100

92 + n(F intersect G intersect R) = 100

n(F intersect G intersect R) = 8

hence answer is 8