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Permutation and Combination
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
40
400
5040
2520
Correct Answer:
5040
Explanation:
'LOGARITHMS' contains 10 different letters.
Required number of words
= Number of arrangements of 10 letters, taking 4 at a time.
=
10
P
4
= (10 x 9 x 8 x 7)
= 5040.
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