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Using seven different Scrabble blocks with the letters: a,e,o,n,r,s,t written on them: a) How many different...

Using seven different Scrabble blocks with the letters: a,e,o,n,r,s,t written on them:

  1. a) How many different seven letter arrangements are possible?
  2. b) How many three letter arrangements are possible?
  3. c) If I choose three letters, then in how many ways can I do this
  4. d) If I select six letters then in how many ways can I do this

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