Im morse code, letters are formed by a sequence of dashes and dots. How many different letters is it possible to represent if a maximum of ten symbols are used?
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OpenStudy (anonymous):
2^10
OpenStudy (anonymous):
thats not the answer
OpenStudy (zarkon):
2046?
OpenStudy (anonymous):
no its not the answer is 2046
OpenStudy (anonymous):
yeah lol
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OpenStudy (anonymous):
oh i thought so too, but it is a Max of ten symbols, not ten symbols
OpenStudy (anonymous):
i dont understand the question
OpenStudy (anonymous):
2+2^2+2^3+...+2^10 if i am not mistaken
OpenStudy (zarkon):
yes
OpenStudy (anonymous):
@and clear why or no?
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OpenStudy (anonymous):
so 2 symbols per letter?
OpenStudy (anonymous):
2 symbols per letter.
1 letter "word" 2 choices
2 letter word 4 choices
3 letter word 8 choices
.
.
.
10 letter word, 2^10 choices
then add
OpenStudy (anonymous):
how do you know its two symbols per letter though?
OpenStudy (anonymous):
not two symbols but a choice of two symbols
a sequence of dashes and dots
OpenStudy (anonymous):
oh i see kk thanks i understand it now:)
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OpenStudy (anonymous):
if you only use one symbol you have a choice
. or -
two symbols you have 4 choices
. .
.-
-.
--