Find the number of different six letter words can be formed with the letters of the word ‘KOMALI’ such that the word doesn’t start with A.

400

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500

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600

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700

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Solution

The correct option is C 600
Number of different six letter words can be formed with the letters of the word ‘KOMALI’ $=^{6} P_{6} = 6!$
Number of different six letter words can be formed starts with A $=^{5} P_{5} = 5!$
Total number of arrangements possible = 6! - 5! = 720 - 120 = 600

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