SOLUTION: how many ways 4 letter combinations can be formed out of the letters of the word LOGARITHMS if repetition of letters is not allowed

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Question 1105380: how many ways 4 letter combinations can be formed out of the letters of the word LOGARITHMS if repetition of letters is not allowed

Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
LOGARITHMS has 10 distinct letters
:
If ordering of letters is important, for example
:
LOGA is different from OLGA
:
10P4 = 10 * 9 * 8 * 7 = 5040 ways
:
If ordering of letters is not important, for example
:
LOGA is the same as OLGA
:
10C4 = 10! / (4! * (10-4)!) = 210 ways
:

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