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counting and probability intermediate

Problem

With the use of three different weights, namely lb., lb., and lb., how many objects of different weights can be weighed, if the objects is to be weighed and the given weights may be placed in either pan of the scale?
(A)
(B)
(C)
(D)
Solution
The heaviest object that could be weighed with this set weighs lb., and we can weigh any positive integer weight at most that. This means that different objects could be weighed, so our answer is and we are done.
Final answer
B