SOLUTION: using the letters of the word algorithm, and calling any arrangement of letters a word, answer this question: how many different seven letter words may be formed?

Question 764789: using the letters of the word algorithm, and calling any arrangement of letters a word, answer this question: how many different seven letter words may be formed?
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!

"algorithm" has 9 unique (non-repeating) letters.

From 9, a set of 7 letters can be chosen in "9 choose 7" or C(9,7) ways, which
is (9*8)/(1*2) or 36 ways.

Each of these 7-letter can be arranged in 7! (factorial 7, or 1*2*3*4*5*6*7) ways.

So the total number of different words = 36 * 7! = 36 * 5040 = 181440.

:)

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