Math Olympiad Contest Problems for Elementary and Middle Schools: #29 [HD]

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From a pile of 100 pennies(P), 100 nickels(N), and 100 dimes(D), select 15 coins which have a total value of exactly $1.00. In your selection, you must also use at least one coin of each type. How many coins of each of the three types(P, N, D) should be selected?

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