9514 1404 393
Answer:
I = 7; II = 1; III = 7; IV = 2; V = 6; VI = 0; VII = 2; VIII = 7
Explanation:
For these, it usually works best to start with the region covered by all of the circles: V.
V = A∩B∩C = 6
V + II = A∩B = 7 ⇒ II = 1
V + IV = A∩C = 8 ⇒ IV = 2
V + VI = B∩C = 6 ⇒ VI = 0
I + II = A∩C' = 8 ⇒ I = 7
II + III + B∩C' = 8 ⇒ III = 7
IV + V + VI + VII = C = 10 ⇒ VII = 2
VIII = A'∩B'∩C' = 7
Putting these in order, we have ...
I = 7; II = 1; III = 7; IV = 2; V = 6; VI = 0; VII = 2; VIII = 7