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PART A. A disgruntled letter carrier has to place ten different letters into seven mailboxes. He...

PART A. A disgruntled letter carrier has to place ten different letters into seven mailboxes. He pays no attention to the addresses on the letters. In how many ways can he distribute the letters into the boxes?

PART B. Suppose he has ten identical circulars instead of the letters. In how many ways can he distribute the circulars?

For some insight, the answers are 2.82 x 10^8 and 8,008, respectively. Please provide work and explanation, as I find this problem to be particularly perplexing.

Math   Statistics-And-Probability   
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