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Question: The number of arrangements of the letters of the word CALCUTTA....

The number of arrangements of the letters of the word CALCUTTA.

A

2520

B

5040

C

10,080

D

40,320

Answer

5040

Explanation

Solution

Required number of ways =8 6mu!2 6mu! 6mu2 6mu! 6mu2 6mu!=5040= \frac{8\mspace{6mu}!}{2\mspace{6mu}!\mspace{6mu} 2\mspace{6mu}!\mspace{6mu} 2\mspace{6mu}!} = 5040.