Seven one-dollar bills are to be distributed among Lucia,Gom

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Seven one-dollar bills are to be distributed among Lucia,Gomea,and Domingo so that each person received at least $1.
比较 the number of ways to distribute the bills so that at least one person recieves at least $3 和 the total number of ways to distribute the bills 的大小.

题目：
7张1美元的钞票分给lucia,gomea和domigo,每个人必须收到至少1美元.
“比较”至少有一个人能拿到至少1美元的分配方法的数量“和”总共分配钞票的方法数量“的大小”
答案：一样大.应为先每人发一块,保证每人至少1块,剩下4块分给3个人,至少有一个人可以拿到两块.加上先先分配的1块.所以不管怎么分,至少有1个人至少总共拿到3块.

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