Counting Rules and Probability

Nate is on a 7-day vacation. He plans to spend one day jet skiing and one day golfing. How many ways can Nate schedule these 2 activities?

• 84

• 42

• 21

• 7

How many identification codes are possible when 3 letters are used? No letter can be repeated.

• 15,600

• 17,576

• 7,800

• 8,838

At the middle school, a student takes 4 core classes a day.  There are 6 different core classes offered.  How many different combinations of classes are there?

• 24

• 15

• 720

• 360

On Sundays at Ice Cream Heaven, you can choose two free toppings for your sundae.  The toppings are nuts, hot fudge, caramel, and sprinkles.  How many different combinations of toppings can you order?

• 8

• 12

• 24

• 6

How many ways can 9 persons line up in a row for a pictorial?

• 362,880

• 360,000

• 352,880

• 332,800

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

• 8

• 64

• 8!

• 56

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15

• 40

• 80

• 10

How many distinguishable permutation are possible with all the letters of the word ELLIPSES?

• 5 040

• 1

• 0

• 5 400

In how many different ways can first, second, and third prize winners be chosen in a random drawing if 50 people entered a contest?

• 50

• 19600

• 117600

• 150

The ______________ probability of an event B in relationship to an event A is defined as the probability that event B occurs after event A has already occurred.

• conditional

• independent

• co-dependent

• Winnie the Pooh