SOLUTION: how many words can you make from the following letters a,r,c,d,and,e ?

Question 436483: how many words can you make from the following letters a,r,c,d,and,e ?
Found 2 solutions by Alan3354, richard1234:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
a
arc
arced
dear
read
race
raced
care
cared
red
dare
ear
are
cad
car
ace
aced
------
I got 14
----------
If you want just combinations:
There are 5 1 letter words
2 letters --> 5*4 = 20
3 letters --> 5*4*3 = 60
4 letters --> 5*4*3*2 = 120
5 letters --> 120
= 120 + 120 + 60 + 20 + 5
= 325
-------------
I would object to some of the other tutor's "words", such as ae and de.
I missed acre, cedar and cadre, tho. I might have thought of them eventually.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Zyzzyva anagram software found 34 words:

cad
aced
cade
dace
acred
arced
cadre
cared
cedar
raced
card
ace
acre
care
race
arc
car
ad
dare
dear
read
rad
ae
are
ear
era
ar
cred
rec
de
ed
red
er
re
If you wanted the number of ways to arrange those five letters to make a "word," that would simply be 5! = 5*4*3*2*1 = 120.
RELATED QUESTIONS
how many five letter words can you make from the following letters... (answered by Alan3354)
How many different four-letter words can be formed from the letters: a,b,c,d,e,f, and g... (answered by edjones)
How many 4-letter words with at least one vowel can be constructed from the letters A, B, (answered by haileytucki,sudhanshu_kmr,richard1234)
How many different 10-letter words (real or imaginary) can be formed from the following... (answered by JulietG)
if 4-letter "words" are formed using the letters A, B, C,D,E, F,G, how many such words... (answered by sudhanshu_kmr,edjones)
How many six-letter "words" can be formed from the letters A, B, C, D, E, F, if each... (answered by stanbon)
How many ways can three letters be chosen from the letters A,B,C,D, and... (answered by Alan3354)
How many different 10 letter words (real or imaginary) can be formed from the following... (answered by Fombitz)
This is a basic problem on Combinations and Permutations. Here are 7 letters: A, L, T,... (answered by richard1234,ikleyn)