From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Number
of Ways to Move (Seaman) 1/30/96
I have a group of squares which together form a larger square. In how
many ways can you travel from the upper left corner of the large square to
the lower right corner by only going down or to the right?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Five
Noncollinear Points (Gomez) 4/2/95
In general, how many undirected lines and how many circles are
determined by five noncollinear points?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Number
of Combinations for 7 Dice (Bertler) 2/22/95
I'm looking for the derived formula solution for the following problem
someone posted in a math echo: There are seven dice. Each die has six faces.
How many different combinations are there of these seven dice?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Permutation
Formula (Grech) 4/23/95
I can't for the life of me remember the formula for calculating the
total possible number of ways to choose 'r' objects out of a total 'n'
objects.
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Permutations
of Lottery Numbers (RNJM1) 8/5/95
Our new lotto will start soon and the object is to pick 5 numbers, 1
through 39. No repeat or bonus numbers. How can I get a listing of all
575,000+ possible numbers?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Winning
the UK National Lottery (Dominic) 11/8/95
I need to know the odds on the UK National Lottery: punters choose 6
different numbers between 1 and 49. How many permutations? How can I
calculate the reduced number of permutations to reflect the fact that the
order of the chosen numbers is not relevant?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Combinations
for Casting a Play (Pennell) 11/15/95
Here's a list of people trying out for parts in the school play. If
someone does not get a part he or she may try out for another. How many
possible casts are there?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Combinations
of Images on a TV Screen (Kent) 12/6/95
I'd like to know how many images would be possible on a hypothetical TV
screen.
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Seating
People in a Row (Lasalle) 12/16/95
Find the numbers of ways in which 4 boys and 4 girls can be seated in a
row of 8 seats if they sit alternately...
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Total
of Possible Telephone Numbers (Rkbj) 1/23/96
Try to determine the total possible telephone numbers in the U.S. using
the following: Area codes are three digits in which the middle digit is
either 0 or 1 and the first digit can be anything but 0 or 1. No three
exchange digits can be the same as the preceding area code.
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Maximum
Possible Combinations (Rues) 1/23/96
Which is the maximum number of possibilities that I can obtain for
n=digit?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Combinations
of Letters and Numbers (Hansen) 3/19/96
A moped license plate has two letters and then four numbers in it. How
many plates can be made without duplicating?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Possible
Combinations on a Push Lock (Shirt) 4/17/96
A combination lock consist of a sequence of 'pushes' and each push is a
collection of buttons (1 or more) that are pushed together.
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Lottery
Permutations (Dellinger) 5/16/96
Determine the number of unique permutations of a lottery where you pick
6 numbers out of 49, and numbers may not repeat...
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Combinatorics:
Unique Groupings (Corin) 5/30/96
Twenty-four friends want to play as many rounds of golf as they can...
how many unique rounds of golf can they play?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Combinations
and (Bond) 6/11/96
There are 6 boys and four girls. The boys do not have to stand together
but they must be in order from shortest to tallest. Of these ten people, how
many ways can they line up together?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Random
Card Shuffling Probabilities (Brasher) 6/11/96
What is the probability of at least two eights being next to each other
in a random shuffling of a deck of cards. What about at least two cards (2
eights or 2 queens etc.) being next to each other?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Permutations
and Combinations (Jain) 10/22/96
How many different six-digit numbers can be formed using three 5's, two
4's, and one 6?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Shaking
Hands - How many were at the party? (Cheng) 6/20/96
Each person shook hands with everyone else. Mr. Li shook hands with 3
times as many men as women. Mrs. Li shook hands with 4 times as many men as
women.
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Connect
4 - Number of Winning Arrangements (HFSchool) 6/20/96
Can you help us find the formula for the number of winning lines on a 7
x 6 Connect-4 board?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Handshakes
at a Party (Stuart) 6/23/96
At a party, everybody shakes hands with each other once. There are 45
handshakes. How many people are there at the party?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Re-seating
a Thousand People (Gellman) 6/30/96
Can a thousand people seated around a circle in seats from 1 to 1000 be
re-seated so as to preserve their order but with no person's number same as
that of his chair?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Social
Insurance Number (Steven) 7/3/96
Make a valid Social Insurance Number that has 8 as its check
digit.
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Number
of Possible Telephone Numbers (Yulam) 7/15/96
How many phone numbers are there given the following restrictions on
certain digits of the number....?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Combinatorial
Proof (Turner) 7/16/96
How do I prove that C(n,r)C(r,k) = C(n,k)C(n-k,r-k) where k <= r <=
n?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Multiplying
Groups of Numbers (Sasson) 5/9/96
Arrange the nine digits 1-9 into three groups...
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Digits
that Average (Chiu) 7/19/96
How many integers from 100 to 999 inclusive have one digit that is the
average of the other two?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Partitions
of Set {1,2,3, ...n} (Scott) 7/25/96
Is there a generic way or some formula to count the partitions of the
set {1,2,3, ...n}?
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- 30
hat probability question (Gong) 11/7/94
In a department store there are 30 cubbies of different hats. Each hat
has its own assigned cubbie box. However, there was an
earthquake...
From Ask Dr.
Math, a Forum special outreach project (high school
collection)
- Dice:
Full House (Eastman) 6/28/96
What is the probability of rolling a full house with 5 six-sided
dice?
The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.