Hi,

A city council with nine members must appoint a three person subcommittee. 

How many subcommittees are possible? 9C3 = 84 possible subcommittees 

Answer by ccs2011(207)   (Show Source): You can put this solution on YOUR website!
 This will be solved using combinations because there is no order within the sub-committees. 

How many groups of 3 can be made from 9 members.

Combination formula:

9C3 =  

9! can be written as 9*8*7*6!

Notice that the 6! can be cancelled on top and bottom, leaving



You can simplify things by doing more cancelling, , 

=

Therefore there are 84 sub-committees possible. 

Answer by Tanvi(1)   (Show Source): You can put this solution on YOUR website!
 5*4*3/3*2*1  

10 

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