phone...

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phone...

by 7806 » Mon Sep 06, 2010 2:44 am
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The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 124 different signs. If the company used 122 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 124 signs?
(a) 246
(b) 248
(c) 492
(d) 15,128
(e) 30,256


Oa-C.
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by The Jock » Mon Sep 06, 2010 3:24 am
Answer is C.
The phone company already created = 122*122 area codes
The new requirement is to create = 124*124 area codes
124^2-122^2=(124+122)(124-122) = 246*2 = 492 additional codes.

I hope this will help.
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