Question

how many number of permutations of the word thermomether?

Answer 1

As a start : count number of letters in the given word

Answer 2

11

Answer 3

not to butt in, but is there a typo here, or is it really " thermomether"

Answer 4

thermomet `h`er

Answer 5

i can't find that word on an on line dictionary
might it be " thermometer" ?

Answer 6

I'm sorry it's THERMOMETER

Answer 7

then 11 is the total number of letters in the word :)
so we need to figure out how many 11 letter words can be formed using these

Answer 8

have you worked problems like these before ?

Answer 9

do you knw how to find the total permutations if all the letters are different ?

Answer 10

it's my first time. i don't know how to solve this till the end :(

Answer 11

i don't know how to begin and end.

Answer 12

how many 11 letter words can be formed using these. Is it 1 only?

Answer 13

Not really, take a quick small example first : `cat`

Answer 14

we can rearrange the letters in 6 ways to form 6 different words:

`cat`

`cta`

`act`

`atc`

`tac`

`tca`

Answer 15

don't wry about the meaning of cta, just see that we can rearrange them like that

Answer 16

oh okay. :)

Answer 17

listing all the possible permutations is a pain in the neck. so lets derive a formula for this

Answer 18

since in the previous example we have `3` characters :

Answer 19

For the first position, you can pick any one of the 3 available characters : c, a, t
so 3 ways for first position