In an isolated housing area consisting of 80 households, the residents are allowed to have atmost one dog and at most one cat per household. Currently 45 households have a dog, 25 haveboth a cat and a dog, and 28 have neither a cat nor a dog. An experiment consists of randomlyselecting a household and observing whether that household has a cat or a dog, or both. UsingDto denote the event that the selected household has a dog andCto denote the event that theselected household has a cat, symbolically denote the following events and identify the numberof households represented by each. a. The selected household has a dog but no cat.
b. The selected household has a cat.
c. The selected household has a cat but no dog.
d. The selected household has a cat or a dog but not both.