Question 1.

Five-card stud is a poker game, in which a player is dealt 5 cards from an ordinary deck of 52 playing cards. How many distinct poker hands could be dealt?

Question 2

How many different ways can you arrange the letters X,Y and Z without repeating letters?(Hint: In this problem, order is important; i.e.., XYZ is considered a different arrangement than YZY)

Question 3

In horse racing, a trifecta is a type of bet. To win a trifecta bet, you need to specify the horses that finish in the top three spots in the exact order in which they finish. If eight horses enter the race, how many different ways can they finish in the top three spots.

Question 4

How many sample points are in the sample space when a coin is flipped 4 times and each time the result ( heads or tails) is recorded?