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Version:
4.4.5.dfsg-3ubuntu2 ▾
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<HTML>
<HEAD>
<TITLE>Binomial coefficient</TITLE>
</HEAD>
<BODY bgcolor="#FFFFFF" fgcolor="#000000">
<P>
<font size="+3" color="green"><B>BINOM function</B></font></P>
<P>
<TABLE border="1" cols="2" frame="box" rules="all" width="572">
<TR>
<TD width="15%" valign="top"><B>Syntax</B>:</TD>
<TD width="85%"><CODE>
y = BINOM(n,m)</code>
</TD></TR>
</table></p>
<p>
<img align="bottom" src="binomI01.png"></p>
<p>
The binomial coefficient is the number of ways of picking <i>m</i> unordered outcomes from
<i>n</i> possibilities and is usually denoted by
<img align="bottom" src="binomI02.png"> or
by <img align="bottom" src="binomI03.png">, where</p>
<p>
<IMG ALIGN="BOTTOM" SRC="binomI04.png"></P>
<p>
For positive integer <i>n</i>, the Binomial Theorem gives</p>
<p>
<img ALIGN="middle" SRC="binomI05.png"></p>
</BODY>
</HTML>