Dhaka Junior 2011/7

Problem for Junior Group from Divisional Mathematical Olympiad will be solved here.
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Please don't post problems (by starting a topic) in the "Junior: Solved" forum. This forum is only for showcasing the problems for the convenience of the users. You can post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
ahmedulkavi
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Joined: Tue Feb 01, 2011 11:20 am

Dhaka Junior 2011/7

Unread post by ahmedulkavi » Tue Feb 01, 2011 8:04 pm

A four headed giant has $63$ children. He wants to name them. The names should be in three English letters. A letter can be used more than one time but the names shouldn't be same. What is the least number of the letters
used in the names?

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Moon
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Re: Divitional math olympyad 2011

Unread post by Moon » Tue Feb 01, 2011 11:34 pm

Almost same problem appeared in Secondary category: viewtopic.php?f=41&t=478
Answer:
$4$ as $4^3=64>63$ :)
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tarek like math
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Re: Dhaka Junior 2011/7

Unread post by tarek like math » Fri Apr 29, 2011 12:29 am

Answer=4 total different names=64
A,B=6 A=1
A,C=6 B=1
B,C=6 C=1
A,D=6 D=1
B,D=6
C,D=6
ABC=6 ABD=6 ACD=6 BCD=6

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