| In how many different ways can the letter of word MATHEMATICS be arranged? |
A) \[\frac{10!}{2!\,\times 3!}\]
B) \[11!\]
C) \[\frac{11!}{2!\,\times 2!\,\times 2!}\]
D) \[\frac{10!}{2!\,\times 2!\,\times 2!}\]
Correct Answer: C
Solution :
| 11 letters can be arranged in 11! ways. Out of these letters M, A and T are repeated twice each. |
| \[\therefore \] Total number of different words |
| \[=\frac{11!}{2!\times 2!\times 2!}\] |
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