Math 220.906
Writing Assignment #1
September 3, 2013
Due Tuesday, September 10.
Problem A: Sam is planning a party and has invited seven friends: Arya, Catelyn, Dany,
Joffrey, Robb, Stannis, and Tyrion. His friends do not all get along:
(i) If Joffrey goes to the party, then both Robb and Stannis will not.
(ii) Catelyn will not go if both Joffrey and Tyrion are there. Otherwise she will definitely
go.
(iii) If Catelyn goes, then Arya will definitely go but Stannis will not.
(iv) At least one of Dany and Tyrion will attend the party.
Answer the following questions:
(a) If Stannis attends the party, will Joffrey or Tyrion be expected to attend?
(b) If Joffrey attends the party, what is the maximum number of guests that will attend
and what are the possible guest lists?
(c) The same question as (b), but assume that Catelyn attends instead.
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