Solve Me!
How many ways can we order a four topping pizza if there are seven toppings to chose from?
35
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?
165, combination
Define permutation:
What is a way of arranging in an ordered fashion of objects or values where order matters.
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
If a team has won 2 games, but lost 8, what is the chance they will win their next game?
20%
Compute C(16,10)
8008
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?
9,702,200; Permutation
Define combination:
What is a way of arranging objects or values where order does not matter.
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
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
Solve P(8,2)
56
A) When does order matter? B) When does order not matter?
A) Permutations B) Combinations
Explain how to find the probability of an event.
The number desired divided by the number possible
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
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.
How many ways can you deal a five card hand from a standard deck if order doesn't matter?
2,598,960
You have 10 albums. You want to listen to 4 of them. How many different arrangements can you come up with? Is this a permutation or a combination?
5040; Permutation
A license plate consists of three letters and two digits. If you cannot repeat a letter or digit and the first digit cannot be zero, how many license plates are possible?
1,263,600
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
The Huskies have a record of 17-9. If the Huskies have 10 more games to play, how many games are the projected to win?
6 or 7
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
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?
64,000
How many different arrangements of the word
Ottawahigh
can be formed?
453,600
Identify n and r in the following problem: How many possible phone numbers are there?
n=10 r=7
There are 4 teams in tournament. Team A wins 50% of their games. Team B has a record of 12-7. 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.