Question 962309
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how many = 3*4 - 1 = 12 - 1 = 11.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>


<H3>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Explanation</H3>


3 &nbsp;opportunity for quarters &nbsp;(0, 1, 2)

and  &nbsp;4 &nbsp;opportunity for dimes &nbsp;(0, 1, 2, 3).


So the product &nbsp;&nbsp;3*4 = 12 &nbsp;&nbsp;is the number of all different possible combinations &nbsp;(pairs &nbsp;(q,d)&nbsp;).



Minus the degenerated case &nbsp;(q,d) = (0,0)  &nbsp;gives finally the answer  &nbsp;&nbsp;12-1 = 11.


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Solved.