Knight or Knave?

Channing and Daija cannot both be telling the truth, since Channing says exactly two people are telling the truth while Daija says Eira is also telling the truth.

Thus Eira is a knight.

Were Daija also a knight, there would be no way to assign a truth value to Channing's statement. There would already be two knights, but validating Channing's statement would make a third knight, thus invalidating it. And invalidating it would leave only two knights, thus validating it.

Thus Daija is a knave.

This leaves us with no way to resolve Channing's status. Either knight or knave status for Channing would complete a consistent system.

Suppose Daija is a knight. Then Eira is as well. Now if Channing is a knave, there are exactly two knights and he is telling the truth. If Channing is a knight, there are exactly three knights and he is lying. So it is a contradiction either way.

Therefore, Daija is a knave. This means Eira's statement is true, so Eira must be a knight:

Channing = ?, Daija = knave, Eira = knight.

If Channing is a knight, then his statement about there being exactly two knights is true, which is consistent with him being a knight.

If Channing is a knave, then his statement about there being exactly two knights is false, which is consistent with him being a knave.

So Channing could be either a knight or a knave!

Hope this Helps!!