In the remote village of Kandang, there are only three villagers, Bee, Cee, and Gee. One fine day, you visited Kandang village because you heard about the story that the village consists of Lembu, the one who is always right in his words, and Kambing, the one who is always wrong when he speaks. You encounter two of the villagers, Bee and Cee who whispers some wisdoms in your ear. Bee says, “I am a Lembu and Cee is a Kambing” while Cee tells you, “Exactly one of three of us is a Lembu”. Determine if Bee, Cee and Gee are either a Lembu or a Kambing using logic reasoning.
To determine whether Bee, Cee, and Gee are Lembu or Kambing, we need to analyze the statements made by Bee and Cee. Let's break down the information we have:
1. Bee says, "I am a Lembu and Cee is a Kambing."
2. Cee says, "Exactly one of three of us is a Lembu."
Let's consider the possibilities:
1. If Bee is a Lembu, then both of Bee's statements must be true. This means Cee must be a Kambing, contradicting Bee's statement. Thus, Bee cannot be a Lembu.
2. If Bee is a Kambing, then both of Bee's statements must be false. This means Cee cannot be a Lembu, which is consistent with Bee's statement. Thus, Bee can be a Kambing.
3. If Cee is a Lembu, then both of Cee's statements must be true. This means exactly one person needs to be a Lembu. However, since Bee cannot be a Lembu (as discussed above), this possibility is not valid.
4. If Cee is a Kambing, then both of Cee's statements must be false. This means exactly one person needs to be a Lembu, which is consistent with Bee's statement. Thus, Cee can be a Kambing.
Conclusions:
1. Bee can be a Kambing.
2. Cee can be a Kambing.
As for Gee, since there is no information about them in the provided scenario, we cannot determine their identity as a Lembu or a Kambing based on the given information.