A birdcage contains 4 macaws, 4 parrots, 4 canaries, and 4 finches. Each group has a bird of the colors white, green, red, and yellow. a. How many ways can a blue bird be chosen? b. How many ways can a green bird or a canary be chosen? c. How many ways can three birds be chosen so that each have a different color?

How many permutations of the letters W, X, Y, and Z are possible?

A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?

How many ways can a baseball coach arrange the order of 9 batters if there are 15 players on the team?

Dance Committee A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 8 sophomores, 12 juniors, and 10 seniors are eligible to be on the committee, in how many ways can the committee be chosen?