Question 1205064
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Assuming the 3 subcommittee members don't have titles (i.e. they serve with equal standing and none are distinguishable from each other with respect to the subcommittee):   
         C(12,3) =  12!/((12-3)!*3!) = 12!/(9!*3!) = 220
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Aside...
If there was a "head of subcommittee" and "spokesperson of subcommittee" then we would not need to divide by the 3! above (similar to "order matters") and you'd get:    
          P(12,3) = 12!/(12-3)! = 12!/9! = 1320

Aside #2...
If, say, exactly one member was 'spokesperson' and the other two were otherwise equal (without title), you'd have:
             12 * C(11,2) = 12*(11!/(9!*2!)) = 660

You can see from the pattern, the more distinctions that are made, the greater the number of subcommittees that can be formed.