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How many words (with or without dictionary meaning) can be made from the letters in the word MONDAY, assuming that no letter is repeated, if 4 letters are used at a time?

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Question

How many words (with or without dictionary meaning) can be made from the letters in the word MONDAY, assuming that no letter is repeated, if 4 letters are used at a time?

Answer in Brief
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Solution

There are total 6 letters in the word MONDAY.

Total number of words by taking 4 letters out of 6 at a time = `""^("6")"P"_4` = 6 x 5 x 4 x 3 = 360 whereas words can be with or without meaning.

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Factorial N (N!) Permutations and Combinations
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Chapter 16: Permutations - Exercise 16.4 [Page 37]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.4 | Q 11.1 | Page 37
NCERT Mathematics [English] Class 11
Chapter 6 Permutations and Combinations
EXERCISE 6.3 | Q 9. (i) | Page 114

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