Show:
Solve Me!
Mix-and-Match
Define
Identify the Parts
What's the 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 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
A lotto requires you to pick 4 numbers from the numbers 1-50. What is the probability you will match all 4 number?
1/230300 or .0000043
200
Compute 16C10
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
A lotto requires you to pick 4 numbers from the numbers 1-50. What is the probability you will match 3 numbers?
46/57575 or .0008
300
Solve 8P2
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; each arrangement "looks" different.
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
A lotto requires you to pick 4 numbers from the numbers 1-50. What is the probability you will match 1 of the numbers?
60720/230300 or .26
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 other way can the expression 6*5*4*3*2*1 be written?
What is 6!
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
A lotto requires you to pick 4 numbers from the numbers 1-50. What is the probability you will match none of the numbers?
163185/230300 or .71
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 the chance than 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
A lotto requires you to pick 4 numbers from the numbers 1-50 and then a superball from the numbers 1-20. What is the probability you will match all 4 numbers and the superball?
1/4606000 or .00000022