Final answer:
The intersection of sets A, B, and C is {0, 6}.
Step-by-step explanation:
The intersection of sets A, B, and C, represented by A ∩ B ∩ C, consists of the elements that are common to all three sets. Looking at the given sets:
A = {0, 1, 3, 4, 6, 7}
B = {0, 2, 3, 5, 6}
C = {0, 1, 4, 6, 7}
To find the intersection, we can find the elements that are present in all three sets. From the given sets, the common elements are 0, 6. Therefore, the intersection A ∩ B ∩ C is {0, 6}.