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Permutation: n Different Things Taken r at a Time

How many diff...

Question

How many different words with or without meaning can be formed from the letters of the word "BHARAT" ?

A

6!

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B

\frac{5!}{2!}

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C

\frac{6!}{2!}

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D

\frac{6! \times 2!}{3!}

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Solution

The correct option is C $\frac{6!}{2!}$
Total number of words in BHARAT=6
Total number of words if all 6 words are different =6!,
here we can see that in BHARAT "A" is repeated twice so,
total number of different words formed are= $\frac{6!}{2!}$
option (c) is correct

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