one more discrete math question
how many elements are in the set?

Question

one more discrete math question
how many elements are in the set?

anonymous · Answer

$$\left\{ w \in \Sigma *  : length (w)\le 4\right\} where \Sigma = \left\{ a,b,c \right\}$$

anonymous · Answer

the asterisk is supposed to be superscript

zzr0ck3r · Answer

I dont know what $\sum^*$

zzr0ck3r · Answer

is

anonymous · Answer

well nevermind on that the cover of the book says its the same as Sigma so I'm not sure why its even there!

zzr0ck3r · Answer

Im lost

anonymous · Answer

I had originally thought to try a tree diagram which got me 112 elements
or factorials which got me 108

zzr0ck3r · Answer

I dont know what $\sum$ is

zzr0ck3r · Answer

your question looks like this to me $\{\omega \in\{a,b,c\} \ | \ \text{length}(\omega)\le 4\} $

anonymous · Answer

oops looked further... 
$$\Sigma $$ means alphabet 
and with the asterisk means words

anonymous · Answer

64

anonymous · Answer

The length of the hallway is 5 feet longer than the width and the area is 50 square feet. What are the dimensions of the hallway?

anonymous · Answer

right so I think it means the words you can create that are less than or equal to 4 letters using a, b, c

anonymous · Answer

and by words I believe they mean any combination of the letters

zzr0ck3r · Answer

there is no way to come up with the amounts of words that are 4 letters long or shorter

zzr0ck3r · Answer

ohhh

zzr0ck3r · Answer

awc wife needs something. brb

miracrown · Answer

yeah your interpretation seems right @teach3.14 
 let's do it in 4 cases, depending on the length of the word
|dw:1403586358056:dw|

so starting at words of length 1... how many can we make?