<PRE><B>Question 1198758</B>
The members of a College staff club were asked to indicate the brand of beer they drink. 5 members drank stars and Trophy beers, 7 members drank star and club beers, 6 members drank starbeer only, 11 drank Trophy beer only while 5 drank club only. Three members drank all the three brands. assuming that each member drank at least one brand of beer, Find
i, the number of members that drank star beer
ii, the number of members that drank Trophy beer
iii, the number of members that drank club beer
iv, the total number of members in the club
&lt;pre&gt;*[illustration ADC_Problem_1198758.png].
The answers to your questions, i) - iv) are derived from the above Venn Diagram, and are based on the following:
         1) Zero (0) members drink Trophy and Club beers, only.
         2) All members of the club are beer drinkers.

So,   &lt;font size = 4&gt;&lt;font color = blue&gt;&lt;b&gt;i&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;, the number of members that drank star beer: &lt;font size = 4&gt;&lt;font color = blue&gt;&lt;b&gt;6 + 2 + 3 + 4 = 15&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;
     &lt;font size = 4&gt;&lt;font color = blue&gt;&lt;b&gt;ii&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;, the number of members that drank Trophy beer: &lt;font size = 4&gt;&lt;font color = blue&gt;&lt;b&gt;11 + 2 + 3 + 0 = 16&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;
    &lt;font size = 4&gt;&lt;font color = blue&gt;&lt;b&gt;iii&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;, the number of members that drank club beer: &lt;font size = 4&gt;&lt;font color = blue&gt;&lt;b&gt;5 + 4 + 3 + 0 = 12&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;
     &lt;font size = 4&gt;&lt;font color = blue&gt;&lt;b&gt;iv&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;, the total number of members in the club: &lt;font size = 4&gt;&lt;font color = blue&gt;&lt;b&gt;11 + 2 + 3 + 0 + 6 + 4 + 5 = 31&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;&lt;/pre&gt;</PRE>