Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
Pages: 1
#1 2006-12-21 04:48:03
- balasvce
- Member
- Registered: 2006-12-20
- Posts: 37
requested illustration
10)which Of The Following Words Can You Arrange In 180
Differnt Ways
There Were 4 Options
Some Words Some Were 4 Letter Some 5 Letter Some 6 Letter
Answer Was One Of The 6 Letter Word There Were 2 Six Letter
Word
can someone give an illustration of this kind of problemup
Offline
#2 2006-12-21 05:03:05
- Stanley_Marsh
- Member
- Registered: 2006-12-13
- Posts: 345
Re: requested illustration
Let's suppose it's an n letters words ( don't know if some of the letters are repeated, I assume it n different letters)
n!=180
n!=180 , no solution
so there must be some letters which are repeated , then n will be greater than 5
So according to the options you provided it's a 6 letters word
Numbers are the essence of the Universe
Offline
#3 2006-12-21 05:04:52
- Stanley_Marsh
- Member
- Registered: 2006-12-13
- Posts: 345
Re: requested illustration
but to find out exactly how many letters are repeated and how many pair of letters , that's kinda hard ~
Numbers are the essence of the Universe
Offline
#4 2006-12-21 07:18:34
- pi man
- Member
- Registered: 2006-07-06
- Posts: 251
Re: requested illustration
A six letter word with no repeated letters (ABCDEF) can be arranged 720 ways (6!).
A six letter word with one letter repeated (AABCDE) can be arranged 360 ways (6! / 2!)
A six letter word with 2 letters repeated (AABBCD) can be arranged 180 ways (6! / (2!*2!)).
So the answer would be the six letter word which has 2 letters that are repeated. The word COFFEE would be an example.
Offline
Pages: 1