| | Easy Counting |  |
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skittles
School Math Nerd
Number of posts : 40
Age : 29
Location : Lost
Registration date : 2008-08-13
| | Subject: Easy Counting Wed Aug 13, 2008 6:50 pm | |
| Find the number of ways the letters from the word SUPERCALIFRAGILISTICEXPEALIDOCIOUS can be arranged, using all of the letters. | |
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Urc
Starting Member
Number of posts : 13
Age : 28
Location : IN UR MOM
Registration date : 2008-08-13
| | Subject: Re: Easy Counting Wed Aug 13, 2008 6:59 pm | |
| - skittles wrote:
- Find the number of ways the letters from the word SUPER CALI FRAGI LISTI CEXPE ALIDO CIOUS can be arranged, using all of the letters.
That is a very, very mean problem I guess it'd be 34! ----- 2!*2!*2!*3!*2!*3!*3!*6!*2!* | |
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skittles
School Math Nerd
Number of posts : 40
Age : 29
Location : Lost
Registration date : 2008-08-13
| | Subject: Re: Easy Counting Wed Aug 13, 2008 7:02 pm | |
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Urc
Starting Member
Number of posts : 13
Age : 28
Location : IN UR MOM
Registration date : 2008-08-13
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AIME15
Hardcore TMF user
Number of posts : 163
Age : 27
Location : Pleasanton, CA
Registration date : 2008-08-13
| | Subject: Re: Easy Counting Wed Aug 13, 2008 8:40 pm | |
| - skittles wrote:
- Find the number of ways the letters from the word SUPERCALIFRAGILISTICEXPEALIDOCIOUS can be arranged, using all of the letters.
I'm way way too lazy to count all the letters and all the duplicates but: The general formula is: for n DIFFERENT letters, its n! If k of them are the same, it's n!/k! if r of them are the same, and k of another letter are the same, it's n!/r!k! And so on. | |
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skittles
School Math Nerd
Number of posts : 40
Age : 29
Location : Lost
Registration date : 2008-08-13
| | Subject: Re: Easy Counting Thu Aug 14, 2008 7:22 am | |
| Yes, AIME15 is correct.
For this particular question, the answer is 34!/2!2!2!2!2!3!3!3!6! (I think, if I did my counting right)
Last edited by skittles on Thu Aug 14, 2008 9:11 am; edited 1 time in total | |
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xoangieexo
Starting Member
Number of posts : 7
Age : 29
Registration date : 2008-08-14
| | Subject: Re: Easy Counting Thu Aug 14, 2008 7:38 am | |
| hmm i got that too
but i counted fast so... hmm... | |
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Urc
Starting Member
Number of posts : 13
Age : 28
Location : IN UR MOM
Registration date : 2008-08-13
| | Subject: Re: Easy Counting Thu Aug 14, 2008 8:05 am | |
| - Urc wrote:
- skittles wrote:
- Find the number of ways the letters from the word SUPER CALI FRAGI LISTI CEXPE ALIDO CIOUS can be arranged, using all of the letters.
That is a very, very mean problem
I guess it'd be
34!
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2!*2!*2!*3!*2!*3!*3!*6!*2!* I got 6! instead of 5!..idk | |
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skittles
School Math Nerd
Number of posts : 40
Age : 29
Location : Lost
Registration date : 2008-08-13
| | Subject: Re: Easy Counting Thu Aug 14, 2008 9:11 am | |
| - Urc wrote:
- Urc wrote:
- skittles wrote:
- Find the number of ways the letters from the word SUPER CALI FRAGI LISTI CEXPE ALIDO CIOUS can be arranged, using all of the letters.
That is a very, very mean problem
I guess it'd be
34!
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2!*2!*2!*3!*2!*3!*3!*6!*2!*
I got 6! instead of 5!..idk Oops, sorry, it is 6. | |
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AIME15
Hardcore TMF user
Number of posts : 163
Age : 27
Location : Pleasanton, CA
Registration date : 2008-08-13
| | Subject: Re: Easy Counting Thu Aug 14, 2008 12:17 pm | |
| On a homework or competition, this would DEFINITELY not come up. Maybe, like find the number of permutations in the word HAPPINESS and TELEPHONE, but not something that has so much room to make a silly error. | |
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skittles
School Math Nerd
Number of posts : 40
Age : 29
Location : Lost
Registration date : 2008-08-13
| | Subject: Re: Easy Counting Thu Aug 14, 2008 2:56 pm | |
| Haha, I just wanted to be mean. But as long as you know the method, it doesn't really matter. | |
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Urc
Starting Member
Number of posts : 13
Age : 28
Location : IN UR MOM
Registration date : 2008-08-13
| | Subject: Re: Easy Counting Fri Aug 15, 2008 3:14 pm | |
| - skittles wrote:
- Haha, I just wanted to be mean. But as long as you know the method, it doesn't really matter.
You're a mean mean person.  | |
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