A postman has to distribute 10 identical postcards to 5 mailboxes. By how many ways can he do this ?
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Here is the solution:We have a line of objects ( 10 postcards and 4 barriers that separate the mailboxes). Thus we need to count the number of possibilities to find spaces for 4 barriers, in other words - to choose 4 objects among 14 ( the order is not important).
Hence the solution is the number of combinations 14C4.
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