1. a)There are 10 pumpkins entered in a pumpkin contest. There are gold, silver, and bronze medals awarded for first, second, and third place. How many different ways can the 3 medals be awarded?

b)A tree has 50 leaves, and the leaves are starting to change colors for fall. 25 of the leaves are red, 20 are orange, and 5 are yellow. Given that each leaf has an equal chance of falling off and fluttering to the ground, what are the chances that the first 4 leaves to fall will be orange?