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15 delegates from United Nations are getting together. They will form 5 subcommittees of size of 4, 3, 3, 3, 2 to discuss new policies. Assume that each subcommittee is responsible for a unique policy (a) How many ways can these subcommittees be formed? (b) French delegate and the English delegate wants to be in the same group. How many different ways can the subcommittees be formed? (c) US delegate and the Russian delegate should not be in the same subcommittee. How many different ways can the subcommittees be formed? (d) Amongst the countries these 15 delegates represent, there are 8 European countries, 5 Asian countries and 2 African countries. How many committees of size three are possible if the committee members must be from a different continent?

math   Statistics-And-Probability   
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ven n: 15 Thea也ехое 5 Subcommittee; cortb Sas Klo of Wways lo o»e Comte is 5-4 1 vemaining) 1365 165 x 56 x10x G126 000 en& English lt4 detegaej omonoup of3,3.33,2 s deligare form he roup of 4 then to disvibute 12t 364 x 165 x 56x 336 33600 > Fench f Elish deliae goup of 3 ther to dist İthe 14 delegat q ONong group of t, 3,3,2,2 iS 100) x 120 x 35 6 x 2505800SP French S Engl6h deligode frm te group of 2, on to dishible i3 detejatej ao goup of 4,3, 3,3 1S :100x 120 x 35 X4 G816800 No Of uoays 33633600 25 825200 168 1 6800 15615, 600 う007 as above NIo-of coays to fo Rasian togetes is 1561 5600 2G12 G 000 15615600 50450400 ven ASian delegae5

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