Three students are each given one letter. nobody has the same letter. each student can only see his/her own letter and are told that their letters only spell one of the following words:
pet, can, new, tap, pry, pen
they are asked the question "do you know which word can be spelled by your letters? " three times. they all answer at the same time and can hear the other students' answers.
first time: all answer 'no.'
second time: all answer 'no.'
third time: all answer 'yes.'
what word do their letters spell? explain.
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