Puzzles and Paradoxes Time Travel, Infinity, and Beyond
FYS 201

Spring 2013
FYS Problem Set 3 Solutions
Problem. 1
Since the problem only asks about the gender of another child, and the gender and
birthday are independently distributed (i.e. the fact that the girl mentioned in the problem was
born onThursdaydoesgnothave any ef
Puzzles and Paradoxes Time Travel, Infinity, and Beyond
FYS 201

Spring 2013
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Page 1
FYS Problem Set 6 Solution
Problem 2
s/
Yes, it is possible.
m
For any positive integer i, we know that the pin i is divided into innite number of
. " c . i? . . . . . .
regions. Weiiiall alliiiiegions in the pin ifas ai 1, an, an,
Puzzles and Paradoxes Time Travel, Infinity, and Beyond
FYS 201

Spring 2013
7 Pager
FYS Problem Set 4 Solution
Problem 2
til/J ..
The answer is 1. Label seven tubes mtg number? 1, 2, 3, 4, 5, 6, and 7. We can know
which tube eclitainshdeyfectiye ball bearings b3} rdpinly picking i bailgsjbearingclfrom the tube 1',
h .A p,
whe
Puzzles and Paradoxes Time Travel, Infinity, and Beyond
FYS 201

Spring 2013
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7'73"
Page 1
F YS Problem Set 8 Solution
Problem 1
Assume that there is a way the family can cross the bridge before the torch runs out.
Because there is only one torch, and anyone who crosses the bridge needs a light, there can be
only one group o