Question

Four members from a 44 person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. The first person selected is the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth, the treasurer. How many different leadership structures are possible?

Answer #1

Solution:-

We have N=44 persons committee.

We have to select n=4 different persons randomly from N=44 persons to serve as

chairperson,

vice-chairperson,

secretary,

and treasurer.

##Question )How many different leadership structures are possible?

-------> By method of "Simple Random Sampling" ,

The sample of size **n** are randomly selected from
population size **N** in **NCn**
ways.

Therefore

The **n =4** are randomly selected
from **N=44 **in
**44****C4** ways.

Hence,

The **n =4** person are randomly selected
from **N=44 **persons in
**1,35,751** ways.

Result:-

There are **1,35,751** different leadership
structures are possible.

how to use ti 84 plus to calculate this question
four member from a 35 person are to be selected randomly to serve
as chairperson, vice person, secretary and treasurer. the first
person is chairperson, second is the vice chairperson, the third is
secretary and fourth is treasurer. How many different leadership
structures are possible?

A committee has six members. There are three members that
currently serve as the board's chairman comma vice chairman comma
and treasurer . Each member is equally likely to serve in any of
the positions. Three members are randomly selected and assigned to
be the new chairman comma vice chairman comma and treasurer . What
is the probability of randomly selecting the three members who
currently hold the positions of chairman comma vice chairman comma
and treasurer and reassigning them...

There are
30
members on the board of directors for a certain non-profit
institution.
a.
If they must elect a chairperson, first vice chairperson,
second vice chairperson, and secretary, how many different slates
of candidates are possible?
b.
If they must form an ethics subcommittee of four members, how
many different subcommittees are possible?
a. There are
nothing
different slates of candidates possible.b. There are
nothing
different ethics subcommittees possible.

Use the Basic Counting Law, Permutations, or
Combinations to answer the following:
1. there are 12 members on the board of directors for
the Newport general hospital.
a.) if they must elect a chairperson, first vice
chairperson, second vice chairperson, and secretary, how many
different slates of candidates are possible?
b.) if they must form an ethics committee of four
members, how many different subcommittees are
possible?

A committee has fourteen fourteen members. There are two two
members that currently serve as the board's chairman chairman and
and vice vice chairman chairman. Each member is equally likely to
serve in any of the positions. Two Two members are randomly
selected and assigned to be the new chairman chairman and and vice
vice chairman chairman. What is the probability of randomly
selecting the two two members who currently hold the positions of
chairman chairman and and vice vice...

Suppose a 15-person committee is made up of 1 freshman, 4
sophomores, 6 juniors, and 4 seniors. The
committee randomly selects four officers: President, Vice
President, Secretary, and Treasurer.
a) What is the probability that the President is a senior?
b) What is the probability that the President is a senior, and the
remaining officers are juniors?
c) What is the probability that all of the officers are
sophomores?
d) What is the probability that the President is freshman,
Vice-President...

There are 100 members in the U.S. Senate. Consider the following
two selection processes.
Two members are to be randomly selected to work together as a
special investigative committee.
Two members are to be randomly selected with the first being
the president of a special investigative committee and the second
being the vice president of that committee.
Which selection process would utilize permutations to
find the number of outcomes? Why? How many permutations would there
be?

2. On the Canadian Senate there are 105 members, 58 are
Conservative and 47 are Liberal.
a) How many ways are there to select at least 2 Liberals for a
sub-committee of 5 Senate members?
b) What is the probability of selecting 5 people for a
sub-committee that contains 1 Liberals and 4 Conservatives?
c) What is the probability that no Liberals are selected in a
sub-committee of 5 Senate members?
d) Suppose the 5 members in the sub-committee have...

How many
ways can a committee of 2 be selected from a club with 12
members?

The executive of an organization is to be selected from a group
of 6 males and 7 females.
1. How many ways are there to choose the president and
secretary?
2. How many ways are there to have a female president and a male
secretary?
3. What is the probability that a randomly chosen president is
female and a randomly chosen secretary is male?
4. How many ways are there to choose a president,
secretary and treasurer?
5. How many ways...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 15 minutes ago

asked 19 minutes ago

asked 23 minutes ago

asked 31 minutes ago

asked 38 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago