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

Question:

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

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.

$\Rightarrow{ }^{8} P_{3}=8 \times 7 \times 6=336$

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