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OCS.0Ogie.com Apple iCloud Yahoo Bing Google Wikipedia Facebook Twitter LinkedIn a Your Planet Fitness... MYiClubOnline Quiz 5-Google.. A council contai.... + Quiz 5 File Edit View Insert Format Tools Table Add-oi izubai 1@students.towson.edu Comments 6 Share n~ 100%. Normal text More. Trebuchet ...9 council contains 10 Labour members, 4 Conservative member and 6 Liberal Democrat members. In how many ways can I select a committee of 6 of them if 4 points only Labour members can be picked; no Conservatives can be picked; there must be equal numbers of members of eaclh (d) there must be at least three Liberal Democrats. 0 0

Explanation / Answer

Solution :

number of members in a committee = 6

number of labour members =10

number of conservative members = 4

number of liberal democrat members = 6

total number of members = 20

(a)

number of ways of selecting a committee with only labour members = 10c6 = 210

(b)

number of ays of selecting a committee with no conservative are selected = 20-4c6 =  16c6 = 8008

(c)

number of ways of selecting a commettee with equal number of members from each group = 10c2 * 4c2 * 6c2

  = 45 * 6 * 15 = 4050

( d )

number of ways of selecting a committe with atleast three members from liberal democrats = 6c3 * 14c3

= 20 * 364 = 7280

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