correct formula for number of arr. of 4 pics out of 10

stacey

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May 6, 2007
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I took a quiz today and got a few wrong. I don't believe I used the correct formula.
The question was:

True or false: The number of different arrangements of four pictures from a selection of ten pictures is 5040.

I guessed wrong and I am still trying to figure it out. The answer is "true", but how? Could you show the formula? Because I'd thought it was "10C4"...?
 
10P4=5040

You could also think of it as 7!=5040.

Choose 4 out of the 10 and tie them together making one unit. That way you have 7 units to arrange.
 
stacey said:
The number of different arrangements of four pictures from a selection of ten pictures is 5040....

I'd thought it was "10C4"...?
Doesn't "arrangements" indicate that order matters, so this is a permutation? (Just "selecting" would be a combination, but this reads as being more than that.)

I could be wrong, of course....

Eliz.
 
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