In how many different ways can the letters of the word 'BLOATING' be arranged?

40320

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5040

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2520

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20160

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None of these

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Solution

The correct options are
A 40320
C 2520
The word BLOATING has 8 distinct letters.
Number of arrangements $=^{8} P_{8}$ = 8!
$= 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2$
= 40320

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