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In how many ways can the letters of the word MAXIMA be arran
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14 May 2019, 00:36
14 May 2019, 00:36
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Question Stats:
70% (01:11) correct
30% (01:12) wrong based on 30 sessions
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In how many ways can the letters of the word MAXIMA be arranged such that all vowels are together and all consonants are together?
(A) 12
(B) 18
(C) 30
(D) 36
(E) 42
(A) 12
(B) 18
(C) 30
(D) 36
(E) 42
Re: In how many ways can the letters of the word MAXIMA be arran
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12 Aug 2019, 05:32
12 Aug 2019, 05:32
NEED EXPLANATION?
Re: In how many ways can the letters of the word MAXIMA be arran
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12 Aug 2019, 07:23
12 Aug 2019, 07:23
3
Carcass wrote:
In how many ways can the letters of the word MAXIMA be arranged such that all vowels are together and all consonants are together?
(A) 12
(B) 18
(C) 30
(D) 36
(E) 42
(A) 12
(B) 18
(C) 30
(D) 36
(E) 42
Here,
Let arrange the words in vowels and consonants
Vowels:: AIA
consonants : MXM
Vowels can be arranged in = \(\frac{(3!)}{(2!)} = 3\) (it is divided by 2! since vowel A repeats twice)
Similarly, consonants can be arranged = \(\frac{(3!)}{(2!)} = 3\) (it is divided by 2! since consonants I repeats twice)
Now, these arrangement can be arranged in 2 ways::
V V V C C C
OR
C C C V V V
Hence, the number of ways it can be arranged = \(2 * 3 * 3 = 18\) ways
