In how many ways can the word MATHEMATICIAN be arranged?

In how many ways can the word MATHEMATICIAN be arranged?
A. 6,794,800 ways
B. 2,664,910 ways
C. 6,227,020,800 ways
D. 129,729,600 ways

Correct Option: Answer is D

Solution:
MATHEMATICIAN = 13 letters with 2M, 3A, 2T, 2I.
Hence, the word MATHEMATICIAN can be arranged in 13!/2!3!2!2!
= 129729600 ways

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