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0 / 60 seg.
There was a small get-together. There were a total of 28 handshakes exchanged between the guests. How many guests were present?
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H
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R
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8
G
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S
T
S
.
I
F
T
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R
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R
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2
G
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_
S
T
S
,
T
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W
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L
L
B
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1
H
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N
D
S
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K
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.
S
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,
2
G
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_
S
T
S
,
1
H
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N
D
S
H
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K
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3
G
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S
T
S
,
2
H
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N
D
S
H
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K
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S
3
G
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S
T
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3
H
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N
D
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K
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S
4
G
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T
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,
6
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N
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K
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S
W
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T
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,
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N
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,
W
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W
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L
L
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V
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(
N
(
N
-
1
)
)
/
2
H
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N
D
S
H
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K
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S
Clue
HIS BIRTHDAY IS ON DECEMBER 31. HE MADE THE STATEMENT ON JANUARY 1. ON THE DAY BEFORE YESTERDAY (DECEMBER 30) HE WAS 25. HE TURNED 26 ON DECEMBER 31. THAT YEAR, HE WOULD TURN 27, SO THE "NEXT YEAR" HE WOULD TURN 28
THREE. THEY'RE ALL IN A ROW, DUCK 1, DUCK 2 FOLLOWED BY DUCK 3. SO DUCKS 1 AND 2 ARE IN FRONT OF DUCK 3, DUCKS 2 AND 3 ARE BEHIND DUCK 1 AND DUCK 2 IS IN THE MIDDLE
THE DIFFERENCE IN AGE IS STILL 23 YEARS, SO I MUST BE 23 IF MY FATHER IS TWICE AS OLD
THERE WERE 8 GUESTS. IF THERE ARE 2 GUESTS, THERE WILL BE 1 HANDSHAKE. SO, 2 GUESTS, 1 HANDSHAKE 3 GUESTS, 2 HANDSHAKES 3 GUESTS, 3 HANDSHAKES 4 GUESTS, 6 HANDSHAKES WITH THIS, FOR N GUESTS, WE WILL HAVE (N(N-1))/2 HANDSHAKES
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