English

How Many Three Letter Words Can Be Made Using the Letters of the Word 'Oriental'?

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Question

How many three letter words can be made using the letters of the word 'ORIENTAL'?

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Solution

The word ORIENTAL consists of 8 letters. In order to make three letter words, we need to permute these 8 letters, taken three at a time.
⇒ 8P3 = 8\[\times\]7\[\times\]6 = 336

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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 12 | Page 37

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