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# A certain law firm cosists of 4 senior partners and 6 junior

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Senior Manager
Joined: 17 Oct 2006
Posts: 439
Followers: 1

Kudos [?]: 11 [0], given: 0

A certain law firm cosists of 4 senior partners and 6 junior [#permalink]  09 Dec 2006, 08:47
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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
A certain law firm cosists of 4 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner( Two groups are considered different if at least one group member is different)

A)48
B)100
C)120
D)288
E)600
Director
Joined: 01 Oct 2006
Posts: 500
Followers: 1

Kudos [?]: 18 [0], given: 0

you can also find it using total number of groups 10c3.
Total number of groups containing only juniors 6c3
hence those containing at one senior =10c3-6c3
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