How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'logarithms', if repetition of letters is not allowed?
Answers
Hence, the number of 3-letter words(with or without meaning) formed by using these letters
= 10P3
@@=10×9×8\\=720@@
720 3-letter Words can be formed with or without meaning, out of the letters of the word, 'logarithms' if repetition of letters is not allowed
Step-by-step explanation:
3-letter words with or without meaning, can be formed out of the letters of the word, 'logarithms'
LOGARITHMS
Total Letters = 10 ( all are unique letters)
3 Letters out of 10 can be selected in ¹⁰C₃ ways
and then 3 Letters cab be arranged in 3 ! Ways to form a word
Total number of Words = 3! * ¹⁰C₃
= 3! * 10!/(7! * 3!)
= 10!/7!
= 10 * 9 * 8
= 720
720 Words can be formed
Another way:
3 Letter word
1st letter can be selected in 10 Ways
2nd letter can be selected in 9 Ways
3 Letter can be selected in 8 ways
number of words = 10 * 9 * 8 = 720 Words
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