<PRE><B>Question 372699</B>
&lt;br&gt;&lt;font face=&quot;Tahoma&quot;&gt;Since order of the restaurants does not appear to matter, &lt;br&gt;

we are looking at a Combination of 11 things takes 6 at a time, or 11C6&lt;br&gt;

{{{11C6=11!/(6!*5!))}}}&lt;br&gt;

{{{11C6=(11*10*9*8*7)/(5*4*3*2*1)}}}&lt;br&gt;

{{{11C6=55440/120}}}&lt;br&gt;

{{{11C6=462}}}&lt;br&gt;

Thus, there are 462 different ways the manager can choose 6 restaurants at a time out of 11.&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>