Show:
Solve Me!
Mix-and-Match
Theory
Identify the Parts
Who's going to win?
100
How many ways can we arrange four books if there are seven books to chose from?
840
100
In how many ways can a committee of 7 elect a president, vice-president, and secretary?
210
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 a team has won 2 games, but lost 8, what is the chance they will win their next game?
20%
200
Compute 12P12
479 001 600
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?
970 200
200
The sum of each row, n, of Pascal's triangle is:
2^n
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
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(x,x-1)
x
300
What is t(414, 413)?
414
300
if upper case and lower case letters are considered different, how many 6-letter computer passwords are possible with at least 1 capital letter and no letters are repeated?
14 492 368 800
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
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 matter?
311 875 200
400
State the factorial formula used for permutations nPr.
What is n!/(n-r)!
400
How many vertical arrangements are there of 8 flags if 4 are white, 3 are blue and 1 is red?
15 015
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
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.
500
what is t(n+13,r-5) - t(n+12, r-6)
t(n+12, r-5)
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 where no two consecutive numbers are the same?
60 840
500
How many even 6-digit numbers can be made using the numbers 0-9? No repeats
60 480
500
Identify n and r in the following problem: How many possible phone numbers are there?
n=10 r=7
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.