You want to send postcards to 12 friends. In the shop there are only 3 kinds of postcards. In how many ways can you send the postcards, if (a) there is a large number of each kind of postcard, and you want to send one card to each friend; (b) there is a large number of each kind of postcard, and you are willing to send one or more postcards to each friend (but no one should get two identical cards); (c) the shop has only 4 of each kind of postcard, and you want to send one card to each friend?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 3
You want to send postcards to 12 friends. In the shop there are only 3 kinds of postcards. In how many ways can you
send the postcards, if
(a) there is a large number of each kind of postcard, and you want to send one card to each friend;
(b) there is a large number of each kind of postcard, and you are willing to send one or more postcards to each friend
(but no one should get two identical cards);
(c) the shop has only 4 of each kind of postcard, and you want to send one card to each friend?
Transcribed Image Text:Problem 3 You want to send postcards to 12 friends. In the shop there are only 3 kinds of postcards. In how many ways can you send the postcards, if (a) there is a large number of each kind of postcard, and you want to send one card to each friend; (b) there is a large number of each kind of postcard, and you are willing to send one or more postcards to each friend (but no one should get two identical cards); (c) the shop has only 4 of each kind of postcard, and you want to send one card to each friend?
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