Permutations

An ice cream shop has 31 flavors. Hassan wants to buy a three-scoop cone with three different flavors. How many cones could he buy if the order of the flavors is important?

• 93

• 930

• 26,970

• 870

In a race with 7 runners, in how many ways can the runners end up in first, second, and third place?

(a)  

Find P(12,2)

(a)  

Grade 5, Grade 6, Grade 7, and Grade 8 are planning to go on a trip. Three buses arrive. What is the probability that Grade 6 will be on Bus 1, Grade 7 will be on Bus 2 and Grade 8 will be on Bus 3?

• 1/6

• 1/12

• 1/24

• 1/3

A swiming contest has 8 swimmers. If each swimmer has an equally likely chance of finishing in the top two, what is the probability that Maryam will be in first place and 

•  $\frac{1}{56}$  

•  $\frac{1}{8}$  

•  $\frac{1}{16}$  

•  $\frac{1}{4}$