Solution to Fourty (40) students go to a party wearing red, white and blue. Of these students, … - Sikademy
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Archangel Macsika

Fourty (40) students go to a party wearing red, white and blue. Of these students, 17 wear red, 22 wear white, 25 wear blue. (Students do not necessarily wear only one colour.) Furthermore, 7 wear red and white, 12 wear blue and white, and 9 wear red and blue. Which one of the following alternatives is true? (Hint: first calculate the value of x, the unknown) 1. 5 students wear red only. 8 students wear white and blue, but not red. 3 students wear red and white, but not blue. 2. 2 students wear red only. 11 students wear white and blue, but not red. 6 students wear red and white, but not blue. 3. 2 students wear red only. 8 students wear white and blue, but not red. 3 students wear red and white, but not blue. 4. 5 students wear red only. 11 students wear white and blue, but not red. 6 students wear red and white, but not blue.

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Here's the Solution to this Question

Let

N(R\cap B\cap W)=x



Then


1+x+9-x+x+7-x

+12-x+4+x+3+x=40


x=4

1+x=5

5 students wear red only.

12 - 4=8

8 students wear white and blue, but not red.


7 - 4 = 3


1. 5 students wear red only. 8 students wear white and blue, but not red. 3 students wear red and white, but not blue. 

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Question ID: mtid-5-stid-8-sqid-2969-qpid-1668