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A code is made from a sequence of 4 letters. How many

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Manager
Joined: 03 Jul 2005
Posts: 195
Location: City
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A code is made from a sequence of 4 letters. How many [#permalink]  09 Oct 2006, 23:00
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A code is made from a sequence of 4 letters.

How many different codes could be made using the letters from the word area?
Director
Joined: 05 Feb 2006
Posts: 903
Followers: 1

Kudos [?]: 47 [0], given: 0

12?

recently i started using the new approach to these kind of problems... trying to get used to it....

AreA....

4!/2!=12

The key here is to see how many same letters the word has....

For example for word "SmIlIeS" you can have: 7!/(2!*2!)=1260 different codes....
Director
Joined: 06 Sep 2006
Posts: 745
Followers: 1

Kudos [?]: 16 [0], given: 0

A code is made from a sequence of 4 letters.

How many different codes could be made using the letters from the word area?

Not that combos and perms are my strengths but is this really a combo? I reckon it is a permutation problem

Intern
Joined: 02 Sep 2006
Posts: 14
Followers: 0

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

it's 12, total outcome is 4! = 24, but need to account for repeats because of AA, so 24/2 = 12
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