Question: Six people enter a train with three compartments. Each sits in a random compartment, independent of where anyone else sits. (a) How many different ways,

Six people enter a train with three compartments. Each sits in a random compartment, independent of where anyone else sits.

(a) How many different ways, N, can the six people be seated into the three compartments?

(b) What is the probability that exactly two people sit in the first compartment?

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