Mathematics

Probability Level 2

How many ways are there to arrange MATHEMATICS ?


The answer is 4989600.

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Math Man by math man , 20, Indonesia

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1 solution

Edwin Hughes
Oct 9, 2014

This 11-letter word has two repeated Ms, As, and Ts so we must divide the total number of arrangements by 2! for every repeated letter:

11 ! 2 ! 2 ! 2 ! = 11 ! 8 = 4989600 \frac{11!}{2!2!2!}=\frac{11!}{8}=4989600

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