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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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0 S0 ene aie eoin a cdass oho ae divided in Band c both ie innepecdive of Someones Choice) b Fins벙, we have to find the numbת of ways in CChich A,B and c i land uf im a Some Nou See that, the total mubeJr of Possible aiiangememt Can be tak?n Place f I2 out of 60 Pe ople aln 2 feoPte Pespte and hem ain a IlouP is chàenin 48-12)-36 People and so on.60 ltene, these 3 Sudemts Cll be fut ufan an of the fn (51-1) Peple then the 3 9nuP and on 557! S this cam be done itn s (sl) ah İONow ae Run have b get the mumbea of 40 g roup Gith, A At ft af have to Pt A ia f the 9mours an d Hat can be dome.in (%) 5 amy 57) UjRJioufed in 4 9nouPSs So total humber ofthis an be done is 557 l+8! s& ! ii) At finst we wil choe Cohics o d c«ill land up aith, A ie, Cam b done irn wlG take tobeB 0 T People amd C be e hom4s fsople / l4 gnoufs Coill 0) 5 x (5)x (48). made at Slandom.

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