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Suppose you are playing Scrabble and have the tiles B, L, O, U, T, H, and E, and you have to play the first

  


Suppose you are playing Scrabble and have the tiles B, L, O, U, T, H, and E, and you have to play the first word. (a) How many permutations of the tiles are there? (b) There are no 7-letter or 6-letter words that can be made with these tiles, but there are several 5-letter and 4-letter words. How many 5-permutations of the tiles are there? (c) How many 4-permutations of the tiles are there?

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