Question 1113348: JOBITA Nigeria limited produces three brands P,Q and R of coffees. in order to determine the marketability of the product, some samples were sent out. on analysis of the customers opinions, the following information were obtained. 250 customers liked brand P, 250 like brand Q and 283 like brand R. 50 customers like brands P and Q, 65 customers liked brands P and R, 55 liked Q and R. if 625 customers were interviewed, find the number of customers who like all the
(i)three brands
(ii) exactly on brand
(iii) at least two brands
(iv) brands P and Q but not R
Found 2 solutions by ankor@dixie-net.com, greenestamps:
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Nigeria limited produces three brands P,Q and R of coffees.
in order to determine the marketability of the product, some samples were sent out.
on analysis of the customers opinions, the following information were obtained.
250 customers liked brand P,
250 like brand Q and
283 like brand R.
50 customers like brands P and Q,
65 customers liked brands P and R,
55 liked Q and R.
if 625 customers were interviewed, find the number of customers who like all the:
:
No one wants this one, here is my take on it. No guarantee
Find the no. that only like one brand
250 - 50 - 65 = 135 liked P only
250 - 50 - 55 = 145 liked Q only
283 - 65 - 55 = 163 liked R only
---------------------------------
Total like 1 brand 443
therefore
625 - 443 = 182 like two or more brands
:
50 + 65 + 55 = 170 liked two brands
625 - 170 - 443 = 12 like all three brands
:
(i)three brands: 12
(ii) exactly one brand: 443
(iii) at least two brands: 182
(iv) brands P and Q but not R
50
Answer by greenestamps(13200)  (Show Source):
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