B5 Probability Mixed Practice

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination
• permutation
• neither

Permutation, combination, or neither?
You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf?

• combination
• permutation
• neither

You are setting the combination on a three-digit lock. You want to use the numbers 123 but don't care what order they are in.

• PERMUTATION

• COMBINATION

A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

• PERMUTATION

• COMBINATION

From a standard deck of 52 cards, in how many ways can 7 cards be drawn?

• PERMUTATION

• COMBINATION

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

• 18
• 120
• 36

Four students need to be selected from a class of 15 to help clean up the campus. How many different ways can the 4 students be chosen, if the only two girls refuse to help?

• 715

• 1 365

• 120

Let’s say we have 8 people:

1: Ann

2: Jimmy

3: Carson

4: Jason

5: Katrina

6: Kenneth

7: Ernest

8: Cherry

How many ways can we award a 1st, 2nd and 3rd place prize among 8 contestants? (Gold / Silver / Bronze)

• 56

• 336

• 3/8

• 1/512

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

• 23

• 840

• 42

• 3,628,800

How many children prefer vanilla ice cream?

• 78

• 131

• 26

• 105