how many different ways there are to assign n nodes to k channels. Take a simple example of assigning 3 nodes to 2 channels. We will identify the channels by numbers, starting with 0, and nodes by characters, starting with A. Example: All three nodes (A, B, and C) select channel 0, and channel 1 is not used at all
Channel 0: nodes A, B, C Channel 1: empty
2. Two nodes select channel 0 and the remaining third node uses channel 1. There are three different possibilities for the identify of this third node, so there are three distinct ways in which this configuration can be achieved:
Channel 0: nodes A, B
Channel 0: nodes A, C
Channel 0: nodes B, C
Channel 1: node C
Channel 1: node B
Channel 1: node A.
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