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There are sixteen different ways.
None. If you "get 65 cents using only dimes nickels and quarters" you are not using any pennies!
A US nickel is 5 cents, so convert the dimes and quarters to multiples of 5: One dime is 10 cents or 2 nickels, so 9 dimes would be equivalent to 18 nickels. A quarter is 25 cents or 5 nickels, so 6 quarters is 30 nickels.
If by 500 you mean 500 cents then : 50 dimes or 100 nickels or 20 quarters. If you mean 500 dollars then: 5,000 dimes or 10,000 nickels or 2,000 quarters.