Solve Me!
There are 11 clowns in a circus, how many ways can you group the clowns if only three perform in a show? Would this be a combination problem or a permutation problem?
165 Combination
What is the math operation we use when we calculate permutations and repetition is not allowed?
Factorial !
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%
There is a school raffle this week, the first prize is a car, the second prize is a $100. How many ways can you award the prizes if 100 students entered the raffle? Would this be a combination problem or a permutation problem?
9900 Permutation
How many different arrangements are there for the letters a, b, c, d, e, if letters can not be repeated?
5! = 120
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
A) When does order matter? B) When does order not matter?
A) Permutations B) Combinations
How many different ways are there to arrange your first three classes if they are math, science, and language arts?
3! = 6
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 2 card hand from a standard deck (52) if order doesn't matter?
1,326
What calculator function is used for Combinations and what is used for Permutations?
nCr and nPr
A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many different permutations of these letters can be made if no letter is used more than once?
5! = 60
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) 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?
The Huskies are more likely to win.
There are 41 band students practicing for a concert, how many ways can the teacher put them in groups of 3 for practice sessions?
10,660
To open your locker, you must dial a sequence of 3 numbers. Given that there are 40 numbers on a lock, how many different locker combinations are there?
59,280
how many different ways can 3 pool balls be arranged out of 16 balls.
16!/13! = 16*15*14 = 3,360
Identify n and r in the following problem: How many possible phone numbers are there in a local area code? Is this a P or a C question?
n=10 r=7 (order matters, P)
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. Rank the teams in order of best to worst.
#1 Team D
#2 Team C
#3 Team B
#4 Team A