A box contains 24 chips with unique letters of the alphabet. 8 chips are picked and used to create words. How many words can be created?

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The box contains 24 chips with unique letters of the alphabet. None of the chips have a common letter.

Here, the number of different words that can be created has to be determined, it does not matter if it is an acceptable word of the English language or not. A word is a permutation of letters.

In picking the first letter, there are 24 options; for the second, there are 23 options. Finally, for the 8th letter there are 17 options. This gives the total number of words that can be created as 24*23*22*21*20*19*18*17 = 2.96*10^10

This is the same as P(24,8) = 2.96*10^10

When 8 letters are chosen from 24 different letters a total of approximately 2.96*10^10 different words can be created.

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