Re: Inconsistent behavior?

• To: mathgroup at smc.vnet.net
• Subject: [mg87287] Re: Inconsistent behavior?
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Sun, 6 Apr 2008 06:45:40 -0400 (EDT)
• Organization: The Open University, Milton Keynes, UK
• References: <ft7ggo\$bs3\$1@smc.vnet.net>

```angela wrote:

> Binomial[n,4] yields
> 1/24 (-3+n) (-2+n) (-1+n) n
>
> Binomial[n,5] yields
> 1/120 (-4+n) (-3+n) (-2+n) (-1+n) n
>
> Binomial[n,6] yields
> Binomial[n,6]
>
> Binomial[n,7] yields
> Binomial[n,7]
>
> Is some setting doing this.

You can use *FunctionExpand* to get the expanded form. For instance,

In[1]:= Binomial[n, 6] // FunctionExpand

Out[1]=

1
--- (-5 + n) (-4 + n) (-3 + n) (-2 + n) (-1 + n) n
720

In[2]:= Binomial[n, 7] // FunctionExpand

Out[2]=

(-6 + n) (-5 + n) (-4 + n) (-3 + n) (-2 + n) (-1 + n) n
-------------------------------------------------------
5040

Regards,
-- Jean-Marc

```

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