How many different combinations of pennies,nickels,dimes,qua

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How many different combinations of pennies,nickels,dimes,quarters,
and dollars can a piggy bank contain if it has 20 coins in it?

即是问a+b+c+d+e=20有多少组正整数解.
用隔板法,在一列二十个1之间插入四个隔板,情况有C(19,4)=3876种情况

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