Question

I have an infinity number of
'0'
'10'
'01'

How many different 10 digits number can be formed using these 3 numbers? (you can also use only 1 of them or only 2 of them)

Answer 1

NaN

Answer 2

Is this question worded right?....
that would mean we would have to account for redundancies like 0,10,0 = 01,0,0

does the number have to begin with a 10? ...(else it isn't really a 10 digit number..)

Answer 3

Is 0000000000 an acceptable possibility?

Answer 4

yes

Answer 5

it can be anything

Answer 6

they're actually binary numbers

Answer 7

another way to look at the question is... you want a string of ten bits where,
.. the first 2 and last 2 bits can't be 11
.. you can't have three consecutive 1's

Answer 8

creating an outcome tree:

the table shows the number of 1's in a position... & the total # of outcomes 1bit to 6 bits of the string