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Problem Solving (PS) | Re: Alice makes 2-digit codes using the 26 letters of the alphabet. Letter

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chetan2u wrote:

MathRevolution wrote:
[GMAT math practice question]

Alice makes 2-digit codes using the 26 letters of the alphabet. Letters may be used repeatedly, and at least one vowel must be used. How many possible codes can she make?

A. 235
B. 256
C. 360
D. 625
E. 676



Two ways...
First the better approach..
Total ways =26*26=676
Ways both are consonants = 21*21=441..
Atleast one vowel = 676-441=235

Second approach..
Ways both are vowels = 5*5=25
Ways one is consonant and one vowel = 21*5=105
These can be placed in two ways... CV or VC, so 105*2=210
Total = 25+210=235.

A....


Here why we didn't take 2*v1*v2?

Posted from my mobile device

Statistics : Posted by Giyo • on 18 Apr 2018, 04:56 • Replies 8 • Views 2650



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