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If you allow a 50 cent piece, the answer is 9. Otherwise it's 10. The coins would be either:

a half dollar, a quarter, two dimes, a nickel, four pennies

or:

three quarters, two dimes, a nickel, four pennies.

Incidentally, if you want the minimum number of denominations for making exact change up to $100.00, that would be:

A fifty, Two twenties, A ten, A five, Four dollar bills, Three quarters, Two dimes, A nickel and Four pennies, giving you a grand total of nineteen coins/bills.

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