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1.2 No 34
#79
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mikoo2ww22
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๐: Five friends have access to a chat room. Is it possible to
determine who is chatting if the following information is
known? Either Kevin or Heather, or both, are chatting.
Either Randy or Vijay, but not both, are chatting. If Abby
is chatting, so is Randy. Vijay and Kevin are either both
chatting or neither is. If Heather is chatting, then so are
Abby and Kevin. Explain your reasoning
๐ค: Yes, based on the given information, we can determine who is chatting in the chat room:
- Either Kevin or Heather (but not both) are chatting.
- Either Randy or Vijay (but not both) are chatting.
- If Abby is chatting, then Randy is also chating.
- Vijay and Kevin are either both chatting or neither is chatting.
- If Heather is chatting, then Abby and Kevin are also chatting.
Now let's analyze each statement:
- Since both Kevin and Heather can be chatting, there are two possibilities:
* Both Kevin and Heather are chatting. In this case, there are three people chatting (Kevin, Heather, and one other person).
* Neither Kevin nor Heather is chatting. In this case, there are only two people chatting (Randy, Vijay, Abby, or Kevin). - This statement tells us that either Randy or Vijay is chatting, but not both. So, there are two possibilities:
...
mikoo2ww22
changed discussion title from
1.2 No 344
to 1.2 No 34