There are 5C3 = (5*4*3)/(2*1) = 30 combinations.
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Three dimes, three nickels, five pennies
You cannot make exactly 0.55 with 12 coins, as there are no coin combinations that add up to that specific value. The closest value you can reach with 12 coins is 0.60, by using five dimes, three nickels, and four pennies.
Three dimes, four nickels, five pennies
Ten
Three dimes, four nickels, five pennies