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The Simplastic language has only 2 unique values and 3

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Joined: 28 Sep 2016
Posts: 19

Kudos [?]: 7 [0], given: 34

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Re: The Simplastic language has only 2 unique values and 3 [#permalink]

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New post 16 Aug 2017, 22:15
shashankism wrote:
joepc wrote:
Dear Math Experts,

What will be answer if repetition in CVCVC is not allowed(once a vowel or consonant is used it cannot be used again)

Thanks
Joepc


In that case 1st C can take 3 values, 2nd C can take 2 values and 3rd C can take 1 value.

Similarly 1st V can take 2 values and 2nd V van take 1 value..

So, total no. of words formed = 3*2*1*2*1 = 12...


Thanks for your reply Shashankism, Is it not 120?, below is my reasoning Please correct me where I am wrong

IT is CVCVC
Considering Consonants
3 Consonants 1st C in 3 ways, 2nd C in 2 Ways and Third C in 1 Ways = 3*2*1 = 6 ways

Considering Vowels
Out of 5 vowels 2 vowels can be selected in 5C2 = 10 ways and it(2 vowels) can be permuted 2! ways which 20

Hence it is 6*20 = 120 ways

Kudos [?]: 7 [0], given: 34

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Director
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Joined: 13 Mar 2017
Posts: 560

Kudos [?]: 139 [1], given: 64

Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: The Simplastic language has only 2 unique values and 3 [#permalink]

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New post 16 Aug 2017, 22:57
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joepc wrote:
shashankism wrote:
joepc wrote:
Dear Math Experts,

What will be answer if repetition in CVCVC is not allowed(once a vowel or consonant is used it cannot be used again)

Thanks
Joepc


In that case 1st C can take 3 values, 2nd C can take 2 values and 3rd C can take 1 value.

Similarly 1st V can take 2 values and 2nd V van take 1 value..

So, total no. of words formed = 3*2*1*2*1 = 12...


Thanks for your reply Shashankism, Is it not 120?, below is my reasoning Please correct me where I am wrong

IT is CVCVC
Considering Consonants
3 Consonants 1st C in 3 ways, 2nd C in 2 Ways and Third C in 1 Ways = 3*2*1 = 6 ways

Considering Vowels
Out of 5 vowels 2 vowels can be selected in 5C2 = 10 ways and it(2 vowels) can be permuted 2! ways which 20

Hence it is 6*20 = 120 ways


But the question stem says there are only 2 vowels(check question it says there are 2 unique vowels misspelled as values and 3 unique consonant)..
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Kudos [?]: 139 [1], given: 64

Re: The Simplastic language has only 2 unique values and 3   [#permalink] 16 Aug 2017, 22:57

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The Simplastic language has only 2 unique values and 3

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