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 Lesson 2, Problem 1

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Dojo
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PostSubject: Lesson 2, Problem 1   Tue Aug 19, 2008 11:06 pm

How many ways are there to arrange the letters in the word:
a) HI
b) CAT
c) BLAH
d) MATCH

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herefishyfishy1
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PostSubject: Re: Lesson 2, Problem 1   Wed Aug 20, 2008 7:48 am

The answers are
2 (2!: 2 choices for the first letter, one for the second letter)
6 (3!: 3 choices for the first letter, 2 for the second letter, 1 for the last letter)
24 (4!: 4 choices for the first letter, 3 for the second letter, 2 for the third letter, 1 for the last letter)
120 (5!: I'm too lazy to type this out)
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ternary0210
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PostSubject: Re: Lesson 2, Problem 1   Wed Aug 20, 2008 12:54 pm

2!,3!,4!,5!
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AIME15
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PostSubject: Re: Lesson 2, Problem 1   Wed Aug 20, 2008 1:25 pm

Extension: How many ways to arrange the letters in"

a) HELLO
b)JOHNNYBEARD
c)SIXTEEN
d)BANANA
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herefishyfishy1
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PostSubject: Re: Lesson 2, Problem 1   Wed Aug 20, 2008 1:50 pm

60
3*4*5*6*7*8*9*10*11. I'm too lazy to calculate.
2520
60
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AIME15
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PostSubject: Re: Lesson 2, Problem 1   Wed Aug 20, 2008 1:51 pm

Can you explain your answer?
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Dojo
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PostSubject: Re: Lesson 2, Problem 1   Wed Aug 20, 2008 9:35 pm

Please dont do overcounting yet.

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PostSubject: Re: Lesson 2, Problem 1   Thu Aug 21, 2008 12:07 am

Whoops, sorry.

This is why you need a list of topics Very Happy
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PostSubject: Re: Lesson 2, Problem 1   Thu Aug 21, 2008 1:03 pm

Dojo, maybe you should compile a table of contents or something.If you need help, ask.
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