Question

From the following information, find n(MUPUC), if n(X) = 100 Х Р M 15 5 8 5 10 12 13 С ​

Answer 1

Answer:

M-Mathematics

P-Physics

C-Chemistry

Let n(M∩P−C)=x refer the venn diagram

Given n(M∪P∪C)=147

n(M)=100,n(P)=70,n(C)=40

n(M∩P)=28,n(M∩P)=18+x,n(P∩C)=23,n(M∩P∩C)=18

n(M∪P∪C)=n(M)+n(P)+n(C)−n(M∩P)−n(P∩C)−n(M∩C)+n(M∩P∩C)

147=100+70+40−28−23−(18+x)+18

147=210−51−x

⇒147=159−x

⇒x=12

Hence, the number of students offered mathematics alone are 72−x which is 60.

solution

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Answer 2

Answer:

The number of student are 62,39 and 1 respectively