Permutations and Combinations

A flea market vendor sells new & used books for adults & teens. Today, she has fantasy novels & poetry collections to choose from. Determine the number of categories for the books being sold.

• 16

• 8

• 4

• 2

At a restaurant, there are 10 beverages, 5 salad choices, 6 main courses, and 3 desserts. How many possible meals can be made?

• 90

• 180

• 300

• 900

A telephone number in a single area code is composed of 7 digits from 0 to 9. Determine the amount of phone numbers available in the 856 area code if the first digit cannot be 0 or 1.

• 483,840

• 604,800

• 8,000,000

• 10,000,000

In the state of New Jersey, random license plates are created by selecting 3 letters followed by 2 numbers 0 through 9 & 1 letter at the end. How many license plates are possible?

• 45,697,600

• 37,015,056

• 32,292,000

• 6,760,000

In how many ways can the word "WEIGHT" be arranged?

• 60

• 120

• 720

• 46,656

How many different 4 letter arrangements can be formed from the letters in the word "DECAGON"?

• 210

• 840

• 5,040

• 823,543

There are 15 players on a basketball team. In how many ways can the coach select the 5 starting players?

• 120

• 360,360

• 12,454,041,600

• 1,307,674,368,000

A certain marathon had 50 people running. Prizes are awarded to the runners who finish in 1st, 2nd, and 3rd place. How many different possible outcomes are there for the first 3 runners to cross the finish line?

• 254,251,200

• 5,527,200

• 125,000

• 117,600

Determine if this question is asking for a permutation or a combination.

How many 3 person committees are possible when selected from a pool of 10 people?

• Permutation

• Combination

How many possible 3 person committees are possible when selecting from a pool of 10 people?

• 45

• 90

• 120

• 720