Answer
The different amounts of money, in cents, that could be selected are:
$\{40, 35, 30, 25, 15, 10, 5, 0\}$
Work Step by Step
The set of coins on the table is:
{nickel, dime, quarter}
The subsets of this set are:
{nickel, dime, quarter} $5+10+25=40$ cents
{nickel, dime} $5+10=15$ cents
{nickel quarter} $5+25=30$ cents
{dime, quarter} $10+25=35$ cents
{nickel} $5$ cents
{dime} $10$ cents
{quarter} $25$ cents
{} $0$ cents
The different amounts of money, in cents, that could be selected are:
$\{40, 35, 30, 25, 15, 10, 5, 0\}$
