200 students

200 students sat exams in Czech, mathematics, and physics. 114 students passed Czech, 50 passed mathematics, and 41 passed physics. 14 students passed both Czech and mathematics, 15 passed both mathematics and physics, and 11 passed both Czech and physics. 5 students passed all three exams. How many students did not pass any exam?

Final Answer:

x =  45

Step-by-step explanation:

n=200  m=5015145=16 f=4115511=10 c=11414511=84  z=m+f+c+14+5+11+15=16+10+84+14+5+11+15=155  x=nz=200155=45



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