How many ways can we order a four topping pizza if there are seven toppings to chose from?
(60 seconds)
35
100
There are 11 clowns in a circus, how many ways can you group the clowns if only three preform in a show?
Would this be a combination problem or a permutaion problem?
(Time - 20 seconds)
Combination
100
Define permutation:
(Time - 30 seconds)
What is a way of arranging objects or numbers where order matters and you can't have repeats.
100
Identify n and r in the following problem:
There are 35 boys trying out for football in the fall. The coach only has 20 spots to fill on the roster. How many ways can he fill the remaining spots?
(Time - 30 seconds)
n=35
r=20
100
If a team has won 2 games, but lost 8, what is the chance they will win their next game?
(Time - 60 seconds)
20%
200
Compute C(16,10)
(Time - 60 seconds)
8008
200
There is a school raffle this week, the first prize is a coffee mug, the second prize is a car, and the third prize is a candy bar. How many ways can you hand out the prizes in 100 students entered the raffle?
Would this be a combination problem or a permutation problem?
(Time - 20 seconds)
Permutation
200
Define combination:
(Time - 30 seconds)
What is a way of arranging objects or numbers where order does not matter and you can't have repeats.
200
Identify n and r in the following problem:
The school board has seven members, the board must have a chairperson, an assistant chairperson, and a secretary. How many different sets of these officers can be formed from this board?
(Time - 30 seconds)
n=7
r=3
200
If a team has a history of winning 70% of their games and there are 20 games in a season, how many games should they win this season?
(Time - 60 seconds)
14 games
300
Solve P(8,2)
(Time - 60 seconds)
56
300
A) When order matters, you use...
B) When order does not matter, you use...
(Time - 20 seconds)
A) Permutations
B) Combinations
300
Give an example of something where order matters:
(Time - 30 seconds)
winning a race, winning a prize, creating a music program, electing officers (president, vice-president, etc.), creating passwords, etc.
300
Identify n and r the following
Ten band directors at a summer band camp are planning to give a performance. One of the pieces they want to play calls for a Flute, an oboe, a bassoon, and a clarinet. Each of the band directors can play all four instruments. How many different quartets can they have?
(Time - 30 seconds)
n=10
r=4
300
The Bobcats have a record of (10, 15) and the Gators have a record of winning 45% of their games. Who is likely to win when the Gators and Bobcats play each other?
(Time - 90 seconds)
The Gators should win.
400
How many ways can you deal a five card hand from a standard deck if order doesn't matter?
(Time - 90 seconds)
2,598,960
400
State the formula used for combinations.
(Time - 60 seconds)
n! / (k!(n-k)!)
400
Give an example of something where order does not matter:
(Time - 30 seconds)
picking clothes to take on a trip, selecting members of a committee, selecting students in a class to complete a task, selecting music you want to play in a program, etc.
400
Identify n and r in the following problem:
How many ways can you deal a five card hand from a standard deck?
(Time - 30 seconds)
n=52
r=5
400
The Huskies have a record of (17, 9) and the Bears have a record of winning 65% of their games. Who is likely to win when the Huskies and Bears play each other?
(Time - 90 seconds)
The Huskies are more likely to win.
500
There are 53 band students going on a fieldtrip, how many ways can the teacher put them in groups of two for the bus ride?
(Time - 90 seconds)
1,378
500
To open your locker, you must dial a sequence of three numbers called the lock’s combination. Given that there are 40 numbers on a lock, how many different locker combinations are there?
(Time - 90 seconds)
59,280
500
Define probability:
(Time - 30 seconds)
The chance of an event occurring
500
Identify n and r in the following problem:
How many possible phone numbers are there?
(Time - 30 seconds)
n=10
r=7
500
There are 4 teams in tournament. Team A wins 50% of their games. Team B has a record of (12, 10). Team C loses 40% of their games. Team D has a record of winning 2/3 of their games. Which team is has the highest probability of winning?
(Time - 120 seconds (a.k.a. - 2 minutes))