SOLUTION: Each Morse code symbol for a letter of the alphabet consists of dots(.) and dashes(-). Each symbol contains between 1 and 4 dots or dashes. How many different symbols can be made

Algebra ->  Permutations -> SOLUTION: Each Morse code symbol for a letter of the alphabet consists of dots(.) and dashes(-). Each symbol contains between 1 and 4 dots or dashes. How many different symbols can be made      Log On


   



Question 69034: Each Morse code symbol for a letter of the alphabet consists of dots(.) and dashes(-). Each symbol contains between 1 and 4 dots or dashes. How many different symbols can be made.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For a single keystroke, there are 2 possible
(.),(-)
For a double keystroke, there are 4 possible
(..)
(--)
(.-)
(-.)
For 3 keystrokes, ther are 8 possible
(...)
(..-)
(.-.)
(-..)
(---)
(--.)
(-.-)
(.--)
And for 4 keystrokes, there are 16 possible
Without going through all the combinations, there
are 2 choices for the 1st, 2 for the 2nd, 2 for the 3rd, and 2 for the 4th
2%2A2%2A2%2A2+=+16
To sum the total possible characters
2+%2B+4+%2B+8+%2B+16+=+30 answer