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Question: The number of all possible words that can be formed using the all letters at a time of the word 'MAT...

The number of all possible words that can be formed using the all letters at a time of the word 'MATHEMATICS' is

A

11!2!2!2!\frac{11!}{2!2!2!}

B

11 !

C

11C1

D

None of these

Answer

11!2!2!2!\frac{11!}{2!2!2!}

Explanation

Solution

(MM) (AA) (TT) EHICS

Total ways = 10!2!2!2!\frac{10!}{2!2!2!}