Calculate the following factorials.
a. 6!
b. 10!

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

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1,find(f+g)(x)

Find the area of the regular hexagon if a side is 20 cm.