anonymous
  • anonymous
How many anagrams does the word YEARLY have?
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Do you no what an anagram is?
anonymous
  • anonymous
yeah haha sorry since its for math it just means that it wants all of the possible letter combinations, but i don't know how to get it since it has two Y's
bahrom7893
  • bahrom7893
mrbarry's taking the right approach.

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bahrom7893
  • bahrom7893
Okay, so let's start with how many anagrams does the word YEARL have?
anonymous
  • anonymous
5!=120
bahrom7893
  • bahrom7893
okay.. so how many permutations of the pair YY are there?
bahrom7893
  • bahrom7893
i mean it's either the first Y first or the second Y first, so you have 2! = 2 permutations.
anonymous
  • anonymous
but would the order of the two Y's matter since they are the same letter?
bahrom7893
  • bahrom7893
suppose in this case it does.
anonymous
  • anonymous
Alright
bahrom7893
  • bahrom7893
Anyway for YEARLY, you have 6 letters, and 2 are a pair. So if my rusty memory is not failing me, the possible number of permutations would be 6!/2!
bahrom7893
  • bahrom7893
i meant 2 are repeated.
anonymous
  • anonymous
Vocabulary: Distinguishable Permutation When we mix the letters around, can we tell the difference between yearly and yearly? That is, since we can't tell if we switch the y's around we don't need to count them as separate anagrams. Very nice @bahrom7893! Of course you are a 99 aren't you?
anonymous
  • anonymous
Alright makes sense. Thanks

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