Show:
Solve Me!
Mix-and-Match
Define
Identify the Parts
Probability
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 permutation 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 there are 25 clips in a bag: 5 are red, 4 are blue, 10 are green, and 6 are yellow. What is the probability that you will select a green clip from the bag? Express your answer as a percent.
40% (10/25)
200
Compute C(16,10)
8,008
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?
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
What is the probability of rolling a standard die and getting an even number? Express your answer as a percent.
50% (3/6)
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
What is the probability of drawing a red King from a standard deck of cards? Express your answer as a percent.
3.8% (2/52)
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 methods used for combinations and permutations on the calculator.
Product Rule

Factorial

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
What is the probability of rolling 2 die and getting a sum of seven. Express your answer as a fraction.
1/6
500
There are 53 band students going on a field trip, 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. Given that there are 40 numbers on a lock, how many different locker combinations are there, without repetition?
59,280
500
Define probability:
What is a way of expressing knowledge or belief that an event will occur or has occurred. (Chance)
500
Identify n and r in the following problem: How many possible phone numbers are there?
n=10 r=7
500
What is the probability of rolling a value less than 5 on a standard die. Express your answer as a fraction.
2/3