Question

I KNOW NO WILL ANSWER MY QUESTION , HERE NO ONE KNOW QUESTION'S ANSWER....

HOPE ANYONE WILL ANSWER CORRECTLY....​

Answer 1

Answer:

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Answer 2

From Image we can See That Given Values are :-

→ Number of Students Studying Economics = n(E) = 42

→ Number of Students Studying Philosophy = n(P) = 45

→ Number of Students Studying Geography = n(G) = 65.

→ Number of Students studying Economics & Geography = n(E∩G) = 20

→ Number of Students studying Geography & Philosophy = n(G∩P) = 15

→ Number of Students studying Economics & Philosophy = n(E∩P) = 25

→ Number of Students studying All Three Subjects = n(E∩P∩G) = 8 .

To Find :-

• Number of students Studying at least one of these Three Subjects.

Solution :-

From Image , we can say That, Number of Students Studying Only Economics are :-

→ n(E ∩ P' ∩ G') = n(E) - n(E∩G) - n(E∩P) + n(E∩P∩G) [ Refer To image once ].

Putting values we get,

→ n(E ∩ P' ∩ G') = 42 - 20 - 25 + 8

→ n(E ∩ P' ∩ G') = 50 - 45

→ n(E ∩ P' ∩ G') = 5. ------------------------------ Equation (1)

______________________

Similarly,

Number of Students Studying only Philosophy are :-

→ n(P ∩ E' ∩ G') = n(P) - n(G∩P) - n(E∩P) + n(E∩P∩G) [ Refer To image once ].

Putting values we get,

→ n(P ∩ E' ∩ G') = 45 - 15 - 25 + 8

→ n(P ∩ E' ∩ G') = 53 - 40

→ n(O ∩ E' ∩ G') = 13. ------------------------------ Equation (2)

______________________

Similarly,

Number of Students Studying only Geography are :-

→ n(G ∩ E' ∩ P') = n(G) - n(G∩P) - n(E∩G) + n(E∩P∩G) [ Refer To image once ].

Putting values we get,

→ n(G ∩ E' ∩ P') = 65 - 15 - 20 + 8

→ n(G ∩ E' ∩ P') = 73 - 35

→ n(G ∩ E' ∩ P') = 38. ------------------------------ Equation (3)

______________________

Adding Equation (1), (2) & (3) Now, we get,

☛ Number of Students at least one of these Three Subjects = 5 + 13 + 38 = 56 (Ans).

Hence, Students Studying at least one of these Three Subjects are 56.