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
Combination
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?
100
What is a way of arranging in an ordered fashion of objects or values where order matters.
what is permutation
100
n=35 r=20
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=? r=?
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
Permutation
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?
200
What is a way of arranging objects or values where order does not matter.
what is combination
200
n=7 r=3
Identify n and r in the following problem: The school board has 7 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=? r=?
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) Permutations B) Combinations
A) When does order matter? B) When does order not matter?
300
What is where each object or value holds a certain place value in an arrangement.
order matters
300
n=10 r=4
Identify n and r the following 10 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=? r=?
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
what is P(n,r)=n!/n!(n-r)!
State the formulas used for permutations.
400
What is where an object or value can is in an un-ordered arrangement where AB=BA is the same arrangment.
what is order does not matter
400
n=52 r=5
n=52 r=5 Identify n and r in the following problem: How many ways can you deal a five card hand from a standard deck?
400
The Huskies
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?
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
C(n,r)=n!/(n-r)!
what is the formula for combination
500
What is a way of expressing knowledge or belief that an event will occur or has occurred.
what is probability
500
n=10 r=7
Identify n and r in the following problem: How many possible phone numbers are there?
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.
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