Solve Me!
Mix-and-Match
Define
Identify the Parts
Who's going to win?

100

How many ways can we order a four topping pizza if there are seven toppings to chose from?
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?
Combination

100

Define permutation:
What is a way of arranging in an ordered fashion of objects or values where order matters.

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?
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?
20%

200

Compute C(16,10)
12,870

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 permutaion problem?
Permutation

200

Define combination:
What is a way of arranging objects or values where order does not matter.

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?
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?
14 games

300

Solve P(8,2)
56

300

A) When does order matter? B) When does order not matter?
A) Permutations B) Combinations

300

Explain order matters:
What is where each object or value holds a certain place value in an arrangement.

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
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?
The Gators should win.

400

How many ways can you deal a five card hand from a standard deck if order doesn't matter?
2,598,960

400

State the formulas used for combinations and permutations.

400

Explain order does not matter:
What is where an object or value can is in an un-ordered arrangement where AB=BA is the same arrangment.

400

Identify n and r in the following problem: How many ways can you deal a five card hand from a standard deck?
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?
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?
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?
59,280

500

Define probability:
What is a way of expressing knowledge or belief that an event will occur or has occurred.

500

Identify n and r in the following problem: How many possible phone numbers are there?
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?
The team most likely to win is Team D.