There is a group of 40 people from 4 countries, 10 from each country. (a) Determine the number of ways a committee of 5 people can be formed if everybody in the committee must be from the same country.
(b) Determine the number of ways a committee of 5 people can be formed if at least two countries must appear in the committee.

To prove p is equal to q using an indirect proof what would your starting assumption be?

Which of the following situations represents a linear relationship? a. theresa increases the distance she runs by 0.1 miles every week. b. the volume of a box depends on the length of box. c. the amount of money in a bank account increases by 1 percent each year. d. the population of a town doubles every 5 years.

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers. a) one of the 400 passengers is selected uniformly at random. let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem