Quantitative Aptitude Ques 633
Question: The number of words which can be formed from the letters of the word ‘MAXIMUM’, if consonants cannot occur together, is
Options:
A) 4! = 24
B) $ 3!,\times ,4! $
C) 836
D) 7!
E) None of these
Show Answer
Answer:
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 $
BETA
