Question 252150: Suppose you are playing a word game with seven distinct letters. How many seven-letter words can there be?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Assuming that the letters can only be used once, you have 7 letters for the first slot, 6 letters for the second (since one has been used already), 5 for the third, etc. until you have one left over for the last slot. Multiply these values to get: 7*6*5*4*3*2*1 = 5040
So there are 5,040 different seven-letter 'words'. Note: a 'word' in this case is just a string of letters (it may or may not be a real word)
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