Question

Harvard College has 26 academic departments, each with its own chair. How many different committees of 5 department chairs can be selected so that the chair of the Math/CS department and the chair of the Science department do not serve together?

Answer #1

Consider the word “COLLEGE”.
a) (5 pts) How many different words can be written reshuffling
the letters in this word?
b) (5 pts) If you pick one of these words at random, what is the
probability that the two E’s appear together?

Question 41 How many different seven-person committees can be
formed each containing 3 women from an available set of 20 women
and 4 men from an available set of 30 men? Question 29 Use two of
the following sets for each part below. Let X = {a, b, c}, Y = {1,
2, 3, 4} and Z = {s, t}. a) Using ordered pairs defines a function
that is one-to-one but not onto. b) Using ordered pairs defines a
function...

Use permutations to solve each of the given problems
A baseball team has 15 players. How many 9-player batting orders
are possible?
From a cooler with 8 cans of different kinds of soda, 3 are
selected for 3 people. In how many ways can this be done?
A student speaks to his financial advisor about investment
products. The advisor has 9 products available but knows he will
only have time to speak out 4. How many different ways can he...

Each of the clinic’s three departments (administration, general
peds and neonatology) has a cost code in the practice’s accounting
software and all the practice’s expenses are assigned to one of
these three areas. The practice manager is interested in better
understanding the profitability of each division, but realizes that
to do so she must allocate administrative cost to the two
divisions.
The practice administrator gathers the following information
about the two clinical departments for the past month
Monthly revenue
Claims...

ind the number of ways of selecting 12 balls from 6 red bal
COMBINATION
Solve each of the following problems. (Show your work.)
Find the number of ways of selecting 12 balls from 6 red balls,
5 white balls and 5 blue balls if each selection consists of 4
balls of each color.
Among the seven nominees for two vacancies on the city council
are four men and six
women. In how many ways may these vacancies be filled...

3D printing started in the early 1980s. There are many different
processes and many different patents, so it is difficult to say who
actually invented it or first brought 3D printing to the market.
Let’s suppose we could. Consider the first 3D printing company,
which we’ll call 3DisUs, selling 3D printers to industries to use
to create intricate plastic parts that might otherwise take much
more money to create.
A. Suppose 3DisUs commissioned a market research company to
survey a...

There are many entrepreneurs in El Alto who are starting their
own businesses. However, starting a new business is risky, and they
are hoping for insurance to smooth their income in the chance that
their project does not succeed. To keep things tractable, let’s
assume that you are risk-neutral (so all you care about is
maximizing profits) and the entrepreneurs have utility ?(?) = ln
(?).
1) For this part, assume that an entrepreneur walks into your
office with a...

This programming task will be a bit different. It will be more
like what you would receive if you were a maintenance engineer
working in a corporate information systems or technology
department. In other words, you will have some prebuilt source code
provided for you that you must alter so it will meet the given
programming specification..
Build a program from what you have been given as a
starting-point.
Rename the “starter code”.
Do not add any modules; just, use...

Use Python 3.8:
Problem Description
Many recipes tend to be rather small, producing the fewest
number of servings that are really possible with the included
ingredients. Sometimes one will want to be able to scale those
recipes upwards for serving larger groups.
This program's task is to determine how much of each ingredient
in a recipe will be required for a target party size. The first
inputs to the program will be the recipe itself.
Here is an example recipe...

Here's the situation: The United States
has a population of 325 million, with a Labor
Force of 150 million. There are 230 million people
in the United States who are age 16 and older. Currently,
12.5 million people are classified as unemployed
by the BLS. The President recently addressed the
American people, saying that she believes that this is an
unacceptable economic situation for this Country.
She proposes a domestic spending
stimulus package to provide jobs, grow the
economy, and...

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