The Dog Situation (D5)
SOLUTION
One of the dachshunds is owned by Bob and is named Alec, while the other is
owned by Charlie and is called David.
To get to the solution, let's gather all the information we're given:
1 Each boy has named his dogs after two of his brothers
2 Each boy has two doggy namesakes
3 There are 3 cocker spaniels,
3 terriers, and 2 dachshunds
4 None of the four boys owns two dogs of the same breed
5 No two dogs of the same breed have the same name
6 Neither of Alec's dogs is named David
7 Neither of Charlie's dogs is named Alec
8 No cocker spaniel is named Alec
9 No terrier is named David
10 Bob does not own a terrier
With this info, it follows that:
11 Alec's dogs are named Bob and Charlie (from 6
and 1)
12 Charlie's dogs are named Bob and David (from 7
and 1)
13 David's dogs are named Alec and Charlie (from 11,
12, 1 and 2)
14 Bob's dogs are named Alec and David (from 11,
12, 13, 1
and 2)
15 Bob's dogs are a cocker and a dachshund (from 3,
4 and 10)
16 The 3 cockers are called Bob,
Charlie, and David (from 3, 5
and 8)
17 The 3 terriers are called Alec,
Bob, and Charlie (from 3, 5 and
9)
18 The 2 dachshunds are called
Alec and David, because the names Bob and Charlie are already taken by cockers
and terriers (from 2, 3, 16
and 17)
19 Bob's dachshund must be called Alec, because there
are no cockers with that name (from 14, 15,
16 and 18)
20 Bob's cocker is called David (from 14,
15, 16, 18
and 19)
21 The dachshund called David must belong to Charlie (from
12, 18 and 20)
Deductions 19 and 21 have given
us the solution to the puzzle.
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