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The Black Suspenders (Posted on 2003-09-29) Difficulty: 3 of 5
When 5 friends appeared at a formal dance, they noticed something. They were all wearing different colored suspenders, ties and shirts. Throughout the 5 of them, there were white, black, red, green, blue colored types of each. 7 pictures including them were taken. The only problem was somebody later on wanted to know what color tie and shirt the man with the black suspenders had, but that never appeared in the notes taken on each picture. Also, can you figure out what each other person wore as well?

Here are the notes on each picture taken. (They were all taken without clothes changes, but the friends might have changed involvement and position. Every one of the 4 people involved in each picture is mentioned; there are no tricks in the wording.)

Picture 1: The photographer decided to move the person with the black shirt between the person with the red tie and the person with white suspenders, and put the person with white shirt on the other side of the person with the white suspenders.

Picture 2: The photographer decided to place the three people wearing red things behind the person wearing the white tie.

Picture 3: The photographer wanted to place the person with the green tie next to the person with black shirt, and put the people with green and blue suspenders behind them.

Picture 4: The photographer decided to put the person with the white suspenders in the middle, with the person wearing the green tie in front of them. Then the people wearing red and green shirt were placed behind them.

Picture 5: The photographer decided to do the same orientation as the last picture; putting the person with the green suspenders behind the person with the person with the black tie, and putting the people with white and blue shirt in the back.

Picture 6: The photographer wanted to place the people with the blue and white suspenders in front, and the person with the black tie and the person with the green shirt behind them.

Picture 7: The photographer decided to include one person who was a friend of the person with the red suspenders and a friend of the person wearing black shirt on this picture.

Based on these notes by the photographer, can you figure out what color tie and shirt the man with the black suspenders had? Also, can you figure out what color shirt, tie, and suspenders the other four people had?

See The Solution Submitted by Gamer    
Rating: 4.0000 (1 votes)

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Solution solution | Comment 1 of 3
The following notations don't represent the correct placement of the persons on photo #1. The color of clothing is given in the order of shirt/tie/suspenders.

From picture 1 we have the placement:
?/red/? - black/?/? - ?/?/white - white/?/? - ?/?/?
I will refer to them as 1-2-3-4-5 in that order.

Picture 3 tells us that the persons wearing a red shirt, a green shirt and white suspenders are three different persons. Combining this with the information of picture 1 shows that neither one of them can be person 2 or 4 and 3 is the one with the white suspenders. This leaves 1 and 5 for the red and the blue shirt. Person #1 cannot wear another red thing and therefore must wear the green shirt. Person #5 wears the red shirt and only the blue shirt is left for #3.

The description of picture 7 distinguishes the person wearing the black shirt (#2) from the one wearing the red suspenders. Only #3 and #4 are left for the red suspenders and because #3 is already wearing white suspenders, it must be #4.

Currently we have:
green/red/? - black/?/? - blue/?/white - white/?/red - red/?/?

From picture 1,3 and 7 we know that #2 can only wear the black suspenders.

In picture 6 we see that the person wearing the green shirt (#1) and the blue suspenders is not one and the same, thus #1 wears green suspenders and #5 the blue ones.

Now only the ties are left to be distributed.

From all that we know up to this point, picture 5 shows persons 1,3, 4 and the one with the black tie. Picture 6 shows persons 1,3,5 and the one with the black tie. This must mean that the person with the black tie isn't either 1,3,4 or 5 and therefore must be #2.
This solves the first part of the problem. Person #2 is wearing all black clothing.

Picture 2 shows the person wearing a white tie in front of the three people wearing red things (1,4,5). This means either #2 or #3 is wearing a white tie. #2 already wears the black tie, ergo it's #3. This leaves the blue and the green tie for #4 and #5. From picture 4 we know that the person wearing the red shirt (#5) is not the one wearing a green tie. Thus #4 wears a green and #5 a blue tie.

Final solution:
green/red/green - black/black/black - blue/white/white - white/green/red - red/blue/blue
  Posted by abc on 2003-09-29 15:51:34
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