If there are multiple nodes in a given information set, which of the following must be true?

Question $22$ options:

a$)$

All nodes in the information set have the same number of immediate predecessor nodes.

b$)$

All nodes in the information set have the same number of immediate successor nodes.

c$)$

None of the other answer choices are correct.

d$)$

All nodes in the information set have the same number of total predecessor nodes.

e$)$

All nodes in the information set have the same number of total successor nodes.