Category: Mathematics Homework Help

Suppose you have m identical blue books and n identical yellow books. Let B(m, n) be
the number of ways to arrange the books on the shelf. Write a recurrence relation for B(m, n), including
necessary base cases. Next, suppose you can’t put two yellow books in a row. Rewrite a new recursive
definition for Y (m, n), which is the number of ways of arranging the books under this condition. You must
justify both of your expressions. You do not need to solve the recurrences.

A set of n children would like to divide up into teams, where each team is either size 2
or size 3. Let T(n) be the number of ways of dividing the children into such teams. Give a well-defined
recursive definition for T(n), including any necessary base cases. You do not need to solve the recurrence.

Ten empty buckets are lined up in a row. Each bucket is labelled. A set of n balls are
randomly thrown one after the other into the buckets.

• What is the expected number of throws that are necessary until two buckets have at least one ball in
them? For example, if the first ball landed in bucket 1, and the second ball landed in bucket 2, then
it only took me 2 throws. If the first ball landed in bucket 1 and the second ball landed in bucket 1,
and the third ball landed in bucket 4, then it took me 3 throws.

This year for your hiking vacation you are thinking of going to either Scotland or Finland.
There is a 60% chance of you going to Scotland because flights are slightly cheaper there and only a 40%
chance you go to Finland. If you have an injury while hiking, you will have to come home. In Scotland,
the terrain is not so bad, so on any given day, the chance that you get injured is only 20%. In Finland it
is 40%. The chance of injury from each day to the next is independent.
• What is the probability that you come home after the third day?
• Suppose you were injured on the first day, What is the probability that you were in Finland?

Please find attached. Below is a 4 × 4 grid consisting of a total of 16 individual squares. On the right is a
picture of a red square stamp. A child is playing with the stamp and and decides to stamp the squares as
follows: for every individual square in the grid she rolls a die and if the die is an even number, she stamps
that square. Notice that the maximum number of stamps she could make is 16.

PLEASE READ THE QUESTION TITLE CAREFULLY

PLEASE READ THE QUESTION TITLE CAREFULLY

PLEASE READ THE QUESTION TITLE CAREFULLY

PLEASE READ THE QUESTION TITLE CAREFULLY

PLEASE READ THE QUESTION TITLE CAREFULLY

THE DUE DATE IS NOT IN 13 HOURS
I JUST MADE IT 13 HOURS TO PREVENT AUTOMATCH. IT STARTS AT 5:15 PM EST

document for this are attached

please accept if you are 100% confident. any low grade will result in a bad review and REFUND request

PLEASE READ THE QUESTION TITLE CAREFULLY

THE DUE DATE IS NOT IN 13 HOURS

PLEASE READ THE QUESTION TITLE CAREFULLY

THE DUE DATE IS NOT IN 13 HOURS

PLEASE READ THE QUESTION TITLE CAREFULLY

THE DUE DATE IS NOT IN 13 HOURS

PLEASE READ THE QUESTION TITLE CAREFULLY

THE DUE DATE IS NOT IN 13 HOURS

PLEASE READ THE QUESTION TITLE CAREFULLY

THE DUE DATE IS NOT IN 13 HOURS

Please see attached. Given natural numbers a, b, c > 0. Suppose that gcd(a,c) = a and gcd(b,c) = b and that
gcd(a,b) = 1. Prove that gcd(ab,c) = ab

These are Probability problems which I am stuck on, please show work and I will write a good review. Please do not accept this problem if you are unable to solve it.

I’m working on a calculus multi-part question and need guidance to help me learn.

Make a sketch and describe the behavior of 3 parent functions. Images must be right-side up, not blurry and an appropriate size for viewing. An example will be given as the instructions.