Question 1198758
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Here's the venn diagram with 8 distinct regions
*[illustration Screenshot_159bb.png]
The region labels are:
S = people who drank star beer only
T = people who drank trophy beer only
C = people who drank club beer only
ST = people who drank star and trophy, but not club
TC = people who drank trophy and club, but not star
SC = people who drank star and club, but not trophy
STC = people who drank all three brands
N = people who drank none of the three brands mentioned


Given Facts:
<table border = "1" cellpadding = "5"><tr><td>Number</td><td>Fact</td></tr><tr><td>1</td><td>5 members drank stars and Trophy beers</td></tr><tr><td>2</td><td>7 members drank star and club beers</td></tr><tr><td>3</td><td>6 members drank starbeer only</td></tr><tr><td>4</td><td>11 drank Trophy beer only</td></tr><tr><td>5</td><td>5 drank club only</td></tr><tr><td>6</td><td>3 members drank all the three brands</td></tr><tr><td>7</td><td>Each member drank at least one brand of beer</td></tr></table>
Fact 6 indicates the value "3" goes in region STC.
Facts 1 and 6 will lead to 5-3 = 2 members who drank stars and trophy, but not club beer. Write "2" in region ST
Facts 2 and 6 will lead to 7-3 = 4 members who drank star and club, but not trophy beer. Write "4" in region SC


Fact 3 indicates we'll write "6" in region S.
Fact 4 indicates we'll write "11" in region T.
Fact 5 indicates we'll write "5" in region C.
Fact 7 means we have "0" in region N, because each person drank at least one type.


This is what we have so far
 *[illustration Screenshot_160.png]
Your teacher doesn't give enough info to determine what value goes in region TC.
I would ask your teacher for clarification about this.


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i, the number of members that drank star beer


We add up the values inside the circle labeled "Star"
6+2+4+3 = 15


Answer: 15 people drank star beer



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ii, the number of members that drank Trophy beer



Like I mentioned earlier, we don't know what value goes in region TC. 
We unfortunately do not have enough information to determine how many people drank trophy beer. 
Similar situations apply to the remaining questions as well.
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