2. We have a group for 4 Americans, 3 Mexicans, 3 Germans, and 2 Canadians. a) In how many ways they can sit in a line next to each other? b) In how many ways, if all Americans must sit together? e) In how many ways, if all Americans must sit together and all Mexicans must sit together? d) In how many ways, if people from the same nation must sit together?

In the town Street of sataio, citizens visit the down tio market everyday for daily needs. In the down tio market,1342 people visit the fruit stall everyday and 892 people visit both the fruit stall and vegetable stall everyday.There a total of 2371 people who visit either one of the two stalls. Find the number of people visiting:- a)Only fruit stall b)Only vegetable stall a) The number of people visiting only fruit stall is b) The number of people visiting only vegetable stall is

Faculty at a certain university need to create a committee to evaluate the general studies curriculum offered on campus. If there are 34 faculty members and they must select a chair, vice chair, secretary and 5 additional faculty members to be on the committee, in how many ways can the committee be formed?

In a certain suburban neighborhood, 20 families own minivans, 27 families own BMW sedans, and 9 families own neither a minivan nor a BMW sedan. There are are 40 families in the neighborhood. a. How many families own a minivan or a BMW sedan? b. How many families own a minivan and a BMW sedan? Thank you!