A shipment of 25 television setscontains three defective units. In how many ways cana vending company purchase four of these units andreceive (a) all good units, (b) two good units, and (c) atleast two good units?

There are 4 vacancies on the scholarship committee at a certain university. In order to balance the men and women on the committee, 1 woman and 3 men are to be appointed. In how many ways can this be done if the following are available to serve? (a) 9 men and 8 women ways(b) 4 men and 5 women ways

n an unsolved airplane hijacking case from 1971, the hijacker (given the alias of D. B. Cooper) parachuted out of the back of a Northwest Boeing 727 over the southwest part of Washington State with $200,000 in $20 bills strapped to his body. The money and four parachutes had been provided by the FBI after Cooper took over the plane, claiming to have a bomb. Despite an intensive search by the FBI and 400 troops from Fort Lewis near the projected landing spot, Cooper was never found and his fate remains unknown. The combined weight of Cooper, the money, and his parachutes was approximately 230 lbs. He jumped from an altitude of 10,000 feet. Assume a linear drag term of −cv (where c is the drag coefficient and v is the velocity), and assume that he opened his parachute instantaneously 30 seconds after he stepped out of the plane and that his drag coefficient was c = 1.1 lbs-sec/ft before the chute opened and c = 12 lbs-sec/ft after. Estimate the speed (in ft/s) with which he hit the…

A shipment of 40 computers are unloaded from the van and tested. 6 of them are defective. In how many ways can we select a set of 5 computers and get at least one defective?

6. A lead role and a supporting role are to be chosen from a drama club consisting of 40 talents. How many various choices of actors are possible if: there are no restrictions? ( (1) (ii) actor Kristoff will participate only if he is the lead role? ( (ii) actors Jess and Jet will act together or not at all? (iv) actors Keanne and Gian will not act together?

A and B throw a die for a stake of Rs.44,000, which is to be won by the player who first throws the number 5. If A takes the first throw, what are their expectations ?