Question

An anagram is a rearrangement of all the letters in a word. Example: page--->gape, pgea..
a) Find the number of 7 letter anagrams possible for the letters in GUITARS.
I did 7!=5040...is that correct?

b) Find the probability of randomly choosing an anagram that starts with T.
There are 720 options for each letter because 5040/7=720. So 720/5040=1/7 which is answers...is this correct?

c) Mentally picture all of your 7-letter anagrams organized alphabetically in a long list, then write the first two and the last two in the list.

First two:
AGIRSTU
AGIRSUT

Last two:
UTSRIGA
UTSRIAG

Please let me know if these answers are correct

Answer 1

All correct, except the order of the last two anagrams:
should read:
UTSRIAG
UTSRIGA

Answer 2

Thank you very much:)

Answer 3

You're welcome! :)