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 |
\[=\frac{11!}{2!\times 2!\times 2!}\] |
You need to login to perform this action.
You will be redirected in
3 sec