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In how many ways can the letters of the word MAXIMA be arran
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14 May 2019, 00:35
14 May 2019, 00:35
Expert Reply
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Question Stats:
71% (01:01) correct
28% (01:24) wrong based on 21 sessions
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In how many ways can the letters of the word MAXIMA be arranged such that all vowels are together?
(A) 12
(B) 18
(C) 30
(D) 36
(E) 72
(A) 12
(B) 18
(C) 30
(D) 36
(E) 72
Re: In how many ways can the letters of the word MAXIMA be arran
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22 Aug 2019, 19:07
22 Aug 2019, 19:07
Carcass wrote:
In how many ways can the letters of the word MAXIMA be arranged such that all vowels are together?
(A) 12
(B) 18
(C) 30
(D) 36
(E) 72
(A) 12
(B) 18
(C) 30
(D) 36
(E) 72
I believe the answer to this one is 18.
there are double letters in both so we can write them in form ABB. Which has 3 forms.
We can also put either vowels or consonants first (2 more combinations)
Thus we have
2*3*3 = 18
So B.
Re: In how many ways can the letters of the word MAXIMA be arran
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28 Sep 2019, 04:01
28 Sep 2019, 04:01
Separating all vowels: AAI
Separating all consonants: MXM
These 2 groups can be arranged in 2! ways.
Each group can now be arranged in 3!2!3!2! ways
So total number of ways is 2!∗3!2!∗3!2!2!∗3!2!∗3!2!
= 18
option: B
Separating all consonants: MXM
These 2 groups can be arranged in 2! ways.
Each group can now be arranged in 3!2!3!2! ways
So total number of ways is 2!∗3!2!∗3!2!2!∗3!2!∗3!2!
= 18
option: B
