You can bundle all the students and all the teachers together and count the arrangements.e) If the entire group of eligible people is lined up randomly for a photograph before the committee selection is made, what is the probability that all the teachers are together and all the studetns are together

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There are 2 ways to arrange the bundles and 6! ways to arrange the teachers and 9! ways to arrange the students

There are 15! ways to arrange all of them.

Probability they are lined up in their respective groups: