Ihave 3 pieces of candy to place in 4 lunch boxes. in how many ways can i do this if:

(a) the candies are all different and the lunch boxes are all different?

(b) the candies are all the same and the lunch boxes are all the same?

(c) the candies are all the same and the lunch boxes are all different?

(d) the candies are all different and the lunch boxes are all the same?

(e) exactly two of the candies are the same (but the third is different) and all of the lunch boxes are different?

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?