.
We have notes of three different nominations and coins of four different nominations.
In all, there are notes and coins of 3 + 4 = 7 different nominations.
Each of them may go with the coefficient 1 or 0.
Hence, in all, we have = 128 different opportunities (including one empty = zero opportunity).
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Comment from student: a big thanks to you mam but i am sorry to say that its ans. is 127.
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My response. It is because I admitted the empty case, which corresponds to the zero value.
If to exclude it, you will get exactly 127 opportunities.