Understanding Permutations

Colt has three activities planned for Saturday: mowing, swimming, and homework. How many different sequences can he arrange these activities in?

• 3

• 9

• 6

• 12

What is the fundamental counting principle used for in permutations?

• To divide the number of choices

• To add the number of choices

• To subtract the number of choices

• To multiply the number of choices

Julia has three classes to schedule: math, science, and language arts. How many different ways can she arrange her schedule?

• 12

• 3

• 6

• 9

Carlos wants a three-scoop ice cream cone with different flavors. If there are 31 flavors available, how many different cones can he create?

• 26,970

• 30,000

• 24,000

• 28,000

How many different ways can a volleyball team of six players line up for a photo?

• 1,080

• 720

• 360

• 120

In a race with seven runners, how many different ways can the top three positions be filled?

• 420

• 360

• 210

• 120

What does the symbol P(31, 3) represent in permutations?

• The number of permutations of 3 things taken 31 at a time

• The number of combinations of 3 things taken 31 at a time

• The number of permutations of 31 things taken 3 at a time

• The number of combinations of 31 things taken 3 at a time

If an MP3 player has 10 songs, what is the probability that it will play the first three songs in order?

• 1/120

• 1/210

• 1/360

• 1/720

In a swimming event with eight swimmers, what is the probability that Yumi finishes first and Paca finishes second?

• 1/84

• 1/112

• 1/56

• 1/28

From the word 'MATH', what is the probability of selecting 'M' first and 'H' second?

• 1/8

• 1/12

• 1/10

• 1/6