Binomials? (1 Viewer)

[Dreamerish*~]

In Morse code, there are 2 signals - a dot and a dash. Show that there are enough arrangements by taking these signals, 1, 2, 3 or 4 at a time to represent all letters of the alphabet.

Can someone show me the way around this which doesn't involve writing down and counting?

 

[Pace_T]

isnt it like this
1 signal = 2letters
2 signals = 2*2 letters
3 signals = 2*2*2 letters
4 signals = 2*2*2*2 letters
so its a sum of all these;
30 letters it can make up
which covers all 26 letters of the alphabet

i dunno other than that lol

 

[Dreamerish*~]

Thank you!

I was thinking along the lines of C and P.