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| The White Suspenders (Posted on 2003-10-01) |
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After the first formal dance the five friends had attended, the one with the black suspenders had to move, and this meant the four remaining friends still wore different colored suspenders, shirts and ties. This time, they only had red, green, blue and white among them.
Also, each of them went with a girl to the dance, one of them taking Dartam. One of them, Azdam, one of the people going with the one of the four friends, is talking about what she should wear so that she doesn't clash with the person that is taking her to the dance. The only thing she knows about him is he will be wearing white suspenders. She gets on the phone with someone else (Zablon) to ask some questions about what everyone will be wearing.
Azdam: So what will everybody be wearing?
Zablon: I know that nobody will wear two or more of the same color. For example, the person who is bringing you wouldn't wear a white shirt or tie because it might clash with his white suspenders.
Azdam: I still don't understand this clashing rule.
Zablon: Well... One of my friends is being taken by the guy wearing red suspenders. He's wearing a green tie instead of a red one so that it won't clash with his red suspenders.
Azdam: Ok, I see...
Zablon: Some people have developed preferences this year. For example Bastam decided she isn't going with anyone wearing anything green, and Cagram decided she isn't going with anyone wearing anything blue.
Azdam: What about the men?
Zablon: Well, Forgam and Golkam don't like to wear red or blue shirts. Golkram also doesn't like to wear blue ties either.
Azdam: Do you know anything else? I feel silly only knowing that the person who is taking me to the dance will be wearing white suspenders.
Zablon: Don't worry! A friend of mine who is being taken to the dance by Epotram only knows that he will be wearing red suspenders. I found that out when I was talking to her about Cagram breaking up with Holdram. I learned that Holdram isn't going to take Cagram to the dance because of this.
Azdam: Ok, well I have to get off the phone... Bye!
Zablon: Bye!
After Azdam only knew this info, she wondered who was taking her to the dance, and what color shirt and tie he would wear with his white suspenders. She also wondered what girl was going with what boy, and what color shirt, tie, and suspenders each boy would wear. What are the answers to these two questions?
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Submitted by Gamer
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Rating: 3.5556 (9 votes)
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Solution:
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(Hide)
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Numbering what we know from Azdam's converstaion:
1: Nobody will be clashing
2: The person wearing the red suspenders will be wearing a green tie
3: Bastam isn't going with anyone wearing anything green
4: Cagram isn't going with anyone wearing blue
5: Forgram and Golkram aren't wearing red or blue shirts
6: Golkram isn't wearing a blue tie
7: Epotram is wearing red suspenders
8: Holdram isn't going with Cagram
9: Also, we know Azdam is going with the guy wearing white suspenders
From 2 and 7, we know Epotram is the one wearing the green tie (since both he and the person wearing the green tie are wearing red suspenders), but we also know he isn't wearing a red shirt. Since from 5 we know Forgam and Golkam aren't wearing red shirts either, Holdram must be wearing the red shirt. From 5 and what we just concluded, Epotram must be wearing the blue shirt.
The guy wearing the blue shirt isn't wearing white suspenders, so he can't be going with Azdam. Bastam isn't going with anyone wearing green. Since Epotram is wearing the blue shirt and green tie, he can't be going with Bastam. Cagram isn't going with anyone wearing blue, so the guy wearing the blue shirt isn't going with Cagram. This means that the guy wearing the blue shirt is going with Dartam.
From this, we can figure out the color suspenders of the guy that's going with a particular girl. We just concluded that Dartram is going with the guy wearing red suspenders (since he's wearing the blue shirt), and we already knew that Azdam was going with the guy wearing white suspenders. From 3 and 4 we can conclude that Cagram is going with the guy wearing green suspenders, and Bastam is going with the guy wearing blue suspenders.
From 2 we know the guy wearing a green tie is wearing the red suspenders, so the guy wearing a blue tie can't wear the red suspenders. The guy wearing green suspenders is going with Cagram, so he can't wear anything blue (like a blue tie), and the guy with blue suspenders wouldn't wear a blue tie to clash with his blue suspenders. So the guy with white suspenders must be wearing a blue tie.
Epotram is wearing a blue shirt with his green tie, so the person wearing the green tie can't wear the white shirt. The guy with the blue tie can't wear the white shirt because of his white suspenders, and the guy with the white tie can't wear the white shirt; both because of clashing. So the person with the white shirt must wear the red tie.
Because the person wearing the red suspenders is wearing the blue tie, he can't wear the green shirt. The person with the green suspenders can't wear the green shirt either because it would clash with his green suspenders. Also, since Bastam is going with the guy wearing the blue suspenders, the guy wearing blue suspenders can't wear the green shirt because of 3. So, the guy wearing white suspenders must be wearing the green shirt.
The guy wearing the green shirt must be wearing the blue tie (as white suspenders goes with both of them), and Bastam isn't wearing the blue tie, so Bastam isn't wearing the green shirt. Epotram (who is wearing the blue shirt) and Holdam (who is wearing the red shirt) aren't either. So Forgam is wearing the green shirt and Golkam is wearing the white shirt.
Since Forgam is taking Azdam, Holdam can't be going with her. From 8 we know Holdam isn't going with Cagram, and we know Epotram is taking Dartam, so Holdam can't go with her. This means Holdam is going with Bastam and Golkam is going with Cagram.
Filling in groups (like Golkam is going with Cagram, and Cagram is going with the guy that is wearing green suspenders, so Golkam must be wearing green suspenders) shows what guy's going with what girl, and what each guy is wearing.
In conclusion:
Epotram will wear red suspenders and a green tie with his blue shirt while going with Dartam.
Forgam will wear white suspenders and a blue tie with his green shirt while going with Azdam.
Golkam will wear green suspenders and a red tie with his white shirt while going with Cagram.
Holdam will wear blue suspenders and a white tie with his red shirt while going with Bastam.
Unfortunately for Azdam, the four boys weren't as prominent with their suspenders as last time. All four wearing a black jacket with their shirt, tie, suspenders and black pants, so she had to wait for Forgram to take off his jacket and reveal that he was the one wearing white suspenders before Azdam felt comfortable dancing with him.
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