| The number of words which can be formed from the letters of the word 'MAXIMUM', if consonants cannot occur together, is |
A) 4! = 24
B) \[3!\,\times \,4!\]
C) 836
D) 7!
E) None of these
Correct Answer: C
Solution :
| Number of different words which can be formed\[=\frac{7!}{3!}\] |
| Consonants (MXMM) |
| Number of words in which consonants occur together |
| \[=\frac{4!}{3!}\] |
| Number of words in which consonants do not occur together \[=\frac{7!}{3!}-\frac{4!}{3!}=\frac{4!}{3!}(7\times 6\times 5-1)=836\] |
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