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How many sums are​ possible?

Question

A student has a  style=”color:rgb(0,0,0);”>$ 1 bill comma a $ 20 bill comma a $ 5 bill comma a $ 10 bill comma and a $ 100 bill
$1 bill, a $20 bill, a $5 bill, a $10 bill, and a $100 bill.a. If the student must select at least one​ bill, and the student may select up to all of the​ bills, how many different sums of money could the student​ make?b. In part​ (a), remove the condition​ “student must select at least one​ bill.” How many sums are​ possible?a. The number of possible different​ sums, provided at least one bill must be​ selected, is nothing

 
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