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Assuming Q1=0,Q2=0 and Q3=0 initially, the sequence of output is like this:

 

As you can see from the table, six different states are possible => 000 -> 001 -> 010 -> 100 -> 101 -> 110 -> 000 (initial)

Therefore , the number of unused states = 2

So, the answer is 2.

 

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