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In how many ways can the word MATHEMATICIAN be arranged?<...

In how many ways can the word MATHEMATICIAN be arranged?

A.

6794800 ways

B.

2664910 ways

C.

6227020800 ways

D.

129729600 ways

View answer & explanation

Correct answer is D

MATHEMATICIAN = 13 letters with 2M, 3A, 2T, 2I.

Hence, the word MATHEMATICIAN can be arranged in $\frac{13!}{2! 3! 2! 2!}$

= 129729600 ways

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