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Depends on your definition of "Sets of Coins"

if this means combinations of units of currency the answer is Two (2):

1) 6 quarters = 1.50
2) 5 quarters, 2 dimes, and 1 nickel = 1.50


if each individual coin is treated as a unique item then option 2 becomes 36 different options:
6 different quarters could be excluded
3 different dimes could be excluded
2 different nickels could be excluded

for 6x3x2 = 36 combinations +1 (the 6 quarter method)

=37 sets of coins.

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Q: If Ryan has 6 quarters 3 dimes 2 nickels and 4 pennies how many different sets of coins could he use to make 1.50?
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