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Grades 5-6 Video Solutions 2021
video 2021 5-6/21
video 2021 5-6/21
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Video Transcription
Number 21. Ann, Bob, Karina, Dan, and Ed are sitting at a round table. Ann is not next to Bob, Dan is next to Ed, and Bob is not next to Dan. Which two people are sitting next to Karina? Okay, so first thing to note, this is a round table. If it's a round table, each person sits next to two people no matter what. There are no edge seats where you only sit next to one person. So we can just first take a look at all of our givens that we have in this sentence over here. We know first that Dan is next to Ed, so we have five spaces here. Just make sure that you remember that this space is technically next to this space right here. But we know that Dan is next to Ed. Next we know that Bob is not next to Ann or Dan. Well, each person is next to two people. Bob, we've already eliminated two of the people that Bob can be next to. So Bob has to be next to Ed and Karina. Those are the only two people left. So that looks something like this. Well, now we have a lot more information. So we know where Dan is, we know where Ed is. And we know that Dan is on one side of Ed, and we know that Bob has to be on the other side of Ed. So Bob is going to be here. Karina is next to Bob, so over here. And in this last place, there's only one more person who can be there, and that's Ann. Once we put all of that together, that looks something like this. So we just take this, flip it down over here. So next to Ed we have Dan, and then Ann is right here. And so that gives us that Ann and Bob are next to Karina. As we see here, the answer is A. Thank you.
Video Summary
Ann, Bob, Karina, Dan, and Ed are seated at a round table. The constraints are: Ann is not next to Bob, Dan is next to Ed, and Bob is not next to Dan. Dan must sit next to Ed, and Bob cannot sit next to Ann or Dan, limiting Bob's position to be next to Ed and Karina. With this arrangement, Ann must occupy the remaining spot. Therefore, Ann and Bob are the two individuals sitting next to Karina. The conclusion places Ann and Bob adjacent to Karina, confirming the answer: Ann and Bob are next to Karina.
Keywords
seating arrangement
round table
constraints
adjacent
Karina
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