Question

Solve the problem.In Morse code, each symbol is either a dot or a dash. How many sequences of 4 symbols are possible?

Answer 1

In Morse code, each symbol is either a dot (.) or a dash (-)

We are asked to determine how many sequences of 4 symbols are possible.

For 1 symbol, there are 2^1 = 2 possible sequences.

For 2 symbols, there are 2^2 = 4 possible sequences.

For 3 symbols, there are 2^3 = 8 possible sequences.

Did you notice the pattern here?

The general formula for this problem would be

`2^n`

Where n is the number of symbols.

For the given case, we have n = 4

`2^n=2^4=2*2*2*2=16`

Therefore, there are a total of 16 possible sequences of 4 symbols.