Larynx
Flocks
boxing
You have 6 different positions to fill with the letters {A, B, S, E, N, T} without repeating any letter. For you first position, you can pick any letter from the group. You have 6 different possibilities. For the second position, you can pick, any of the 5 remaining letters ( 5 possibilities). So far you have 30 possible combinations ( 6 x 5 ). for the third position you have 4 remaining letters. If you follow this logic, the end result is: 6 x 5 x 4 x 3 x 2 x 1 = 720 This can be shortened to factorial nomenclature. 6! = 720 Cheers!
ibex
Since all the letters are different, the answer is 7! = 1 x 2 x 3 x 4 x 5 x 6 x 7.
In thing like: x+3=6 =6-3=x x=3
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720 ways
7 letters so factorial 7, ie 7 x 6 x 5 x 4 x 3 x 2 = 5040
With the letters ' f a w x w e r I n s o h ' you could make these Scrabble words, in alphabetical order:aweaxaxesfarefawnFaxfewerfinefinerfireforeharehairhewhexhoaxhoaxer (6 letters)hownewownownerrashrowsawsawershareshinshineshiner (6 letters)shoreshornshowshower (6 letters)snaresnoresofasonarsoresoxwaferwaferswashwasher (6 letters)waxwaxeswhinewhinerwinewirewishwisherworeNOTE: the letters ' f a w x w e r I n s o h '
xerox
Using all letters? You have seven different letters, so you can rearrange them in 7! (read: seven factorial) different ways, that is, 1 x 2 x 3 x 4 x 5 x 6 x 7.
Since no letters are repeated in the word prime, you can arrange the letters in the word prime 5! ways, or 120 ways.