Easier probability question

If you have 5 signal flags and can send a message by hoisting one or more signal flags up on a flagpole, how many messages can you send?

1 flag
5

2 flags
5*4 = 20

3 flags
5*4*3 = 60

4 flags
5*4*3*2 = 120

5 flags
5! = 120

All messages
5 + 20 + 60 + 120 + 120 = 325

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