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Wyatt Mattingly, who turned 16 in November, wanted to be an archaeologist when he grew up.

He graduated from the University of Georgia in May and received his master’s degree in September. But after teaching archaeology for a year as a summer intern at the university, Wyatt didn’t want to return to college and resume his day job.

So in August, after learning about a new program at the University of Florida that teaches 12- to 18-year-old students how to conduct fieldwork and excavate for archaeological remains, he signed up.

He was one of several young archaeological students who participated in the first of a two-year pilot program. A second class of six students is slated to begin this fall.

The students in that second group range in age from 13 to 18 and come from eight of Florida’s high schools. They are participating in the Florida Advanced Archaeology and Teaching (F.A.A.T.) program, which is run by the Florida Museum of Natural History.

“I get a say in what I do,” Wyatt said.

It’s common for kids to want to work with their hands in the field, but it’s rare for them to get hands-on experience in the field. When the F.A.A.T. program was introduced last year, the idea was to give kids a real-life opportunity to study archaeology, said Stephanie Vass, Ph.D., assistant curator of collections and special projects at the museum.

“They think they’re going to find potsherds and make little piles of potsherds, and they’re going to be an archaeologist,” she said. “It was our goal to provide them with a chance to do more hands-on activity.”

Traci Barnard, Ph.D., director of the research education program at the Florida Museum of Natural History, has been working with the archaeology department for 11 years and has seen the program grow. When she saw the opportunity to develop a hands-on program with science camps, she added F.A.A.T. to it.

“Over the years, we’ve been saying, ‘We need a program like this to provide a venue for kids to have hands-on experience with the sciences,’ ” she said.

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“vray 1.5 sp4 for max 2009” Free download windows vista 8.rarQ:

Simplifying $\frac{n}{n!} + \frac{n}{(n-1)!} + \cdots + \frac{n}{3!} + \frac{n}{2!}$

Simplify the sum,
$$\frac{n}{n!} + \frac{n}{(n-1)!} + \cdots + \frac{n}{3!} + \frac{n}{2!}$$
I tried replacing $n$ with $2n$, but it didn’t work. I can’t seem to find a way to make a change that will work. Any suggestions?
Edit: Since this was asked in a way that was totally incorrect, I’ll answer it myself. After doing the division $n(n-1) \cdots (n-k+1) / k!$, all you have to do is rearrange and combine the binomials. For example:
\begin{align}
&\frac{(n-k+1)}{(n-k)!} \cdot \frac{n(n-1) \cdots (n-k+2)}{(k+1)!} \\
=& \frac{1}{(n-k+1)!} \cdot \frac{n(n-1) \cdots (n-k+2)(n-k+1)!(k+1)!}{(k+1)!} \\
=& \frac{1}{(n-k+1)!} \cdot \frac{n(n-1) \cdots (n-k+2)}{(k+1)!}
\end{align}

A:

Here is a general idea.
Rewrite this in terms of $n$ as
$$
\frac{n(n-1)\cdots(n-k+1)}{k!(k+1)!}
$$
Now, if you write $n^n$ in terms of
$a^aa^{n-a}$:
$$
n^n = n^a(n-a)^a
$$
Then, we have
$$
\frac{n^n}{k!(k+1)!}

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