Show:
Solve Me!
Mix-and-Match
I know! I know!
Identify the Parts
How many?
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? DAILY DOUBLE: HOW MANY WAYS?
Combination DAILY DOUBLE 165
100
What is a way of arranging in an ordered fashion of objects or values where order matters.
Permutation
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
Yvette can take her driving test on Monday, Wednesday, or Friday, at 4:00 P.M., 5:00 P.M., or 6:00 P.M. How many different opportunities does she have to take her driving test?
9
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? BONUS: FIND HOW MANY WAYS.
Permutation BONUS: 970,200
200
What is formula for permutation?
n!/(n-r)!
200
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 if they are chosen in order?
210 different sets
200
Alan and Mike want to attend 10 major league games at different ball parks this year. They are trying to decide in which order to visit the parks. In how many different orders can they visit the 10 different parks if they visit each once?
What is 10! = 3,628,800
300
Solve P(8,2)
56
300
A) Order matters for combinations or permutatioons?
Permutations
300
If a store has 7 kinds of sweaters in 9 colors, how many different sweaters can you buy?
63
300
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. What formula would you choose to determine the number of ways to select the band directors and why?
Combination - because it doesn't matter the order that you choose because all of the directors can play all of the instruments
300
Find P(9,5).
What is 15,120
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 formula used for combinations.
What is n!/r!(n-r)!
400
What is the value of (15-12)!
What is 6?
400
Reagan's Travel Company has 7 vacation destinations available in four different price ranges. How many combinations are there to choose from?
7 X 4 = 28
400
There are 10 contestants in the state quiz bowl competition. The top two contestants will go on to compete at the national quiz bowl competition. How many different ways can first and second place be chosen?
Permutation: P(10,2) = 90
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?
combination - 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?
Permutation - 59,280
500
any collection of one or more outcomes in the sample space
What is an event?
500
How many ways can you rearrange the letters in the word "SKYBOX."
What is 720
500
Shane can only take 3 books on his vacation. He has 8 books to choose from. How many different groups of books could be selected?
56