How many arrangements can be made using the l | vedclass

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(B) The word $CALCUTTA$ contains $8$ letters in total.The frequency of the letters is as follows:$C$ appears $2$ times.$A$ appears $2$ times.$T$ appea

Vedclass · Accepted Answer

$5040$

Vedclass · Answer

(B) The word $CALCUTTA$ contains $8$ letters in total.The frequency of the letters is as follows:$C$ appears $2$ times.$A$ appears $2$ times.$T$ appears $2$ times.$L$ appears $1$ time.$U$ appears $1$ time.The total number of arrangements is given by the formula for permutations of a multiset:$	ext{Arrangements} = \frac{n!}{n_1! n_2! n_3! ...} = \frac{8!}{2! 2! 2!}$Calculating the value:$\frac{40320}{2 	imes 2 	imes 2} = \frac{40320}{8} = 5040$Thus,the total number of arrangements is $5040$.

How many arrangements can be made using the letters of the word $CALCUTTA$?

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