Question

Let M, P and C be the sets of students taking Mathematics, Physics and Computer science respectively in a University. Assume 300 students study Mathematics,350 students study Physics,450 study Computer science ,100 study mathematics and Physics,150 study Mathematics and Computer science ,75 study Physics and Computer science and 10 study all three courses .How many students are taking exactly one of those courses?

Answer 1

Answer:

Problems on Intersection of three stats

For solving such a problems we have to consider the following rules :

If A, B and C are three finite sets then :

1) n ( A ∪ B ∪ C ) =

n(A) + n(B) + n(C) – n ( A ∩ B ) – n(B ∩ C) – n (A ∩ C) + n( A ∩ B ∩ C )

2) n[ A ∩ ( B ∪ C) ] = n ( A ∩ B ) + n ( A ∩ C) – n( A ∩ B ∩ C

Answer 2

Answer:

Problems on Intersection of three stats

For solving such a problems we have to consider the following rules :

If A, B and C Are three finite sets then :

1) n (AUBUC)=

n(A) + n(B) + n(C) – n (ANB) - n(B nC) – n (A N C) + n( ANBNC)

2) n[ A n (BUC)] = n (ANB)+n (ANC) - n(A

0.0 (0)

COMMENT

Step-by-step explanation:

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