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

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09 Dec 2006, 09:47
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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
Senior Manager
Joined: 01 Oct 2006
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09 Dec 2006, 11:08
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
09 Dec 2006, 11:08
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