Question

eight people are to be lined up for a photograph, but kevin and brian refuse to stand next to each other, while Charles and Cheryl insist on standing next to each other. how many ways can the eight people be arranged to meet both requirements

Answer #1

A wedding party of eight people is lined up in a random order.
Every way of lining up the people in the wedding party is equally
likely. [See additional problems 12.3.4]
What is the probability that the bride is next to the
groom?
What is the probability that the maid of honor is in the
leftmost position?
Determine whether the two events are independent. Prove your
answer by showing that one of the conditions for independence is
either true or...

Suppose 200 people are lined up side-by-side, each one holding a
fair coin. Each person flips their coin 64 times; every time it
lands heads they step 1 meter forward, each time it lands tails
they step 1 meter backward.
Use a normal approximation to answer the following question:
after everyone finishes their 64 steps, approximately how many
people will be standing between 4 and 8 meters behind the starting
line?
(Round your answer to three decimal
places. Example: if...

Suppose you and your 4 friends (5 people) are dressing up as the
6 main characters of the first Avengers
movie:
Iron Man, Hulk, Thor, Black Widow, Captain America and
Hawkeye.
(each question is independent of the others.)
(a) How many ways can you do this if all 5 people dress up as a
different character?
(b) How many ways can you do this if 3 of you dress up as the same
character and the
other 2 are different...

1. There are 6! = 720 ways in which 2 Argentinians, 2 Bolivians,
and 2 Colombians can stand in a straight line. How many of these
ways will have the property that that no two persons from the same
country are standing next to each other?

In how many ways can 8 people sit down in a row of 8 chairs? a)
without any restriction b) two specific people will not sit next to
each other. c) the probability that those 2 persons end up next to
each other.

1) Answer each of the following problems. SHOW ALL NECESSARY
WORK to fully justify each of your answers.
a) From a box of 24 tiny dolls, A toddler selects a set of 6
dolls as her favorites . How many different ways can she make this
selection?
b) In how many different ways can the eleven players of a
football team line up to be in a photograph
c) A store has to hire two cashiers. Five people are interviewed...

1. Use a tree diagram to show, or list, all possible outcomes
when you toss a coin 3 times.
2. Licence plates consist of either 3 letters and 3 numbers or 4
letters and 3 numbers. How many different licence plates can be
issued?
3a) In how many ways can a committee of
three be selected from 12 students?
b) In how many ways can a president, secretary, and treasurer be
chosen from 12 students?
4. How many ways...

Brian Durkee/ Director of Operations, Numi Organic
Tea:
Well Numi; Numi’s is a triple bottom line company which means our
focuses are on people, planet and profit. Hi, I’m Brian Durkee. I’m
the director of operations for Numi Organic Tea and a big part of
my role at Numi is to really manage that, and uh; it’s beyond just
taking care of your employees. Numi has fifty employees in the U.S.
but the peoples who dedicate the majority of their...

2. How many ways can you select a planning committee of three
for a group of eight executives
3. You have produced four advertisements to use while selling a
new product. What are all the possible ways you can order these
four ads if you plan to only use two during the summer months
4. A manufacturer of cranes purchases electric motors from three
suppliers: General Electric, Westinghouse, and Samsung. Thirty
percent of the motors are purchased from General Electric,...

An insurance company has one adjuster in the branch office.
People with claims against the company are found to arrive in a
Poisson fashion during an 8 to 5 workday. Determine the hourly
service and arrival rates using an 8-hour workday. The amount of
time that the adjuster spends with a claimant is exponentially
distributed. Claimants are processed in the order of their
arrival.
You are the manager of this branch and you wanted to investigate
service provided by your...

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