word combination....

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word combination....

by shibal » Mon Apr 27, 2009 12:37 pm
how many ways can the letters of the following words be arranged?

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by lilu » Mon Apr 27, 2009 3:28 pm
For 5-letter words you need to calculate=5*4*3*2*1=120
Because you have 5 spots for the 1st letter, then 4 spots for the second letter, etc.
For 4-letter words you need to calculate=4*3*2*1=24
The same logic applies as the one stated above.
And use the same logic for 6-letter words.
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by VP_Jim » Mon Apr 27, 2009 4:44 pm
Don't forget that you also need to divide by n!, where "n" is the number of times a letter repeats itself in the word. So, for example, SCHOOL would be:

6! / 2!

Since there are two "O"s.

So, if we had a word such as "ASSESS", that would be:

6! / 4!

Since the "S" repeats itself four times.

It gets even weirder if you have multiple letters that repeat, such as RECESS - both the "E" and the "S" repeat twice. So, we would have:

6! / (2!*2!)

I can't say I've ever seen one of these on the real GMAT, but it's handy to know.
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