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How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?

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Question

How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?

Sum
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Solution

There are 8 different letters in the word EQUATION.

Number of words formed from these letters (with or without meaning) = `(8!)/((8 - 8)!) = 8!`

= 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 40320

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Chapter 6: Permutations and Combinations - EXERCISE 6.3 [Page 114]

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NCERT Mathematics [English] Class 11
Chapter 6 Permutations and Combinations
EXERCISE 6.3 | Q 8. | Page 114

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