I ONLY NEED NUMBER 4 TO BE ANSWERD. THANK U!!!!! 2. At the Phoenix annual meetin
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I ONLY NEED NUMBER 4 TO BE ANSWERD. THANK U!!!!!
2. At the Phoenix annual meeting of the pet owner's club, a show of hands determined that 41 people in attendance owned one or more dogs but no cat; 38 owned one or more cat but no dogs; and 12 owned both types of A dog/cat owner committee of 6 people is to be formed. It is thought that the diversity of the dog/cat owning community is best represented if 2 people on that committee only own a dog or dogs; 2 people only own a cat or cats; and 2 people own both dog(s) and cat(s) In how many ways can this committee be selected? Explain your reasoning and show work. 3. How does the solution to the previous problem change if the two people selected out of each of the three distinct groups do not have equal power on the committee, but rather, the first selected is the "speaker" for that group, and the second selected is just an advisor? Explain your answer 4. Referring again to the same meeting of the pet owner's club, how many people do we need to select from the subset of attendees who are dog owners and/or cat owners to guarantee that we have at least 4 dog owners and 3 cat owners in the sample? Give the minimum number and explain Be careful in your reasoning. While it is helpful to think in terms of "worst case scenarios" in these types of problems, it will not do in your written solution to just label one special case a "worst case scenario". Your reasoning why the random selection of X people will suffice must cover every conceivable case in which these people can be selected, and you must explain why the selection of X-1 people does not always sufficeExplanation / Answer
No of people only with dog/dogs=41
No of people with cat=38
No of people with both type of animals = 12
We need a group containing at least 4 Dog owners and 3 cat owners
The worst case scenario is that all members present in the committee on either a cat only or a dog only
So in order to get a minimum number we have to select a group such that the entire group owns cats are dogs
In order to make sure that there are at least for Dog owners and three cat owners in the sample we have to select the sample such that there are 41 dog owners plus 3 cat owners which makes a total sum of 44
In this case even if 41 members are dog owners the remaining three will definitely be cat owners
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