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Regions:
- A only (a)
- B only (b)
- A ∩ B (c)
- Outside both (d)
Formulas:
$$n\left(A\ ∪\ B\right)=n\left(A\right)+n\left(B\right)-n\left(A\ ∩\ B\right)$$
$$n\left(A^c\ ∪\ B^c\right)=n\left(A∩B\right)^c$$
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Regions:
Formulas:
$$n\left(A\ ∪\ B\right)=n\left(A\right)+n\left(B\right)-n\left(A\ ∩\ B\right)$$
$$n\left(A^c\ ∪\ B^c\right)=n\left(A∩B\right)^c$$
What is the number of projects in which Medha alone is involved?
Shyam visited Ram during his brief vacation. In the mornings they both would go for yoga. In the evenings they would play tennis. To have more fun, they indulge only in one activity per day, i.e. either they went for yoga or played tennis each day. There were days when they were lazy and stayed home all day long. There were 24 mornings when they did nothing, 14 evenings when they stayed at home, and a total of 22 days when they did yoga or played tennis. For how many days Shyam stayed with Ram?
In a locality, two-thirds of the people have cable TV, one-fifth have VCR, and one-tenth have both. What is the fraction of people having atleast one among cable -TV and VCR?
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