Difference between revisions of "AoPS Wiki:Problem of the Day/September 1, 2011"

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In how many ways can the letters in the word "hair is on my head" be arranged if exactly one of the following criteria must be met:
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In how many ways can the letters in the word "mathematical" be arranged if exactly one of the following criteria must be met:
  
 
1) The two a's are NOT next to each other.
 
1) The two a's are NOT next to each other.
  
2) The t to each other.
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2) The two m's are NOT next to each other.
  
 
3) No a is next to an m.
 
3) No a is next to an m.

Latest revision as of 19:03, 15 April 2020

In how many ways can the letters in the word "mathematical" be arranged if exactly one of the following criteria must be met:

1) The two a's are NOT next to each other.

2) The two m's are NOT next to each other.

3) No a is next to an m.

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