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# 3 Problem 53 (modified): 60 students in your class are going to be split into 5...

###### Question:

3 Problem 53 (modified): 60 students in your class are going to be split into 5 scribing teams of 12. Unknown to all of you is there is A whom both B and C fancy. If we pick the teams at random (instead of alphabetically), how many different ways will (i) both B and C land up with A in the same team, (ii) neither B or C land up in a team with A, (ii) exactly one of B and C lands up with A on a team?

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