The number of ways, the letters of words of 'MATHEMATICS' be arranged is |
A) 4989600
B) 502646
C) 424690
D) 824213
Correct Answer: A
Solution :
The word 'MATHEMATICS' consists of 11 letters out of which A, M and T are each repeated twice, then by the 4th point of useful relation of permutation, we have |
\[P=\frac{n!}{x!y!z!}=\frac{11!}{2!2!2!}=4989600\] |
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