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A rumor is spread randomly among a group of 10 people by successively having one person call someone, who calls someone, and so on. A person can pass the rumor on to anyone except the individual who just called.

(a) By how many different paths can a rumor travel through the group in three calls?

(b) By how many different paths can a rumor travel through the group in $N$ calls? 

(c) What is the probability that if $A$ starts the rumor, then $A$ receives the third calls?

in Combinatory
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