How many different arrangements can be made with the letters from the word SPACE?
2 Answers
May 10, 2018
21, if the word SPACE is not included... 22 if Space counts as a word.
Explanation:
a
ace
aces
ape
apes
as
asp
cap
cape
capes
caps
case
pa
pace
paces
pea
peas
sac
sap
sea
spa
space
May 14, 2018
Explanation:
We have 5 choices for the first letter, then 4 choices for the 2nd, 3 choices for the 3rd, etc.
This gives us
#5 xx 4 xx 3 xx 2 xx 1#
#= 5!#
#= 120#
120 arrangements of these 5 letters.
Since all 5 letters are unique, there is no risk of repeated arrangements. We do not need to divide this 120 by anything.
