How many seven letter words can be formed using the letters of the word $^{'} A L A B A M A^{'}$ ?

210

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520

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225

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525

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Solution

The correct option is A $210$
Word $A L A B A M A$
Number of letters $= 7$ but $A$ reapeted $4$ times
Total number of $7$ lettered words possible

$= \frac{^{7} P_{7}}{4!} = \frac{7!}{4!}$
$= 210$ Words

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