Word Problem.. Please Help

crosscountryrunner

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Sep 26, 2010
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a. Twelve people in Emily's family get together for a Fourth of July picnic. Afterwards they get a neighbor over to take a picture. How many different ways can the 12 of them be lined up for a photo?

b. For a second picture the family members can either stay in their original place or swap places with one of the people next to them. How many second photos are possible? (The second photo could be the same as the first one; that counts.)


To start working on this problem I started looking at all the different ways they could line up, and I came up with 2048 ways but I dont think that is right.
 
Just count. Assign slots.

How many family members can be placed in slot #1? 12 ways to do that.

After that, How many family members can be placed in slot #2? 11 ways to do that.

Now what?
 
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