The committee can be selected by combinatorial argument in
ways.
A counting-based argument is known as a combinatorial argument or combinatorial proof. This line of reasoning has previously been used, for instance in the section on Stirling numbers of the second sort.
By initially selecting k individuals from our group of n, we can then choose one of those k individuals to serve as the committee's chairperson.
A number of methods for completing the first task, k methods for completing the second task, and so on. ways to create a k-member committee with a chairperson.
is the number of methods to construct a committee with a chairman of size less than or equal to n can be found by adding up over 1≤k≤n.
A committee of size less than or equal to n can also be formed with a chairperson by selecting the chairperson first, followed by the members of the committee. The chairperson can be chosen from among n options. The picker has two options for the remaining n-1 individuals: to include them or not. We therefore have n options for the chairperson, 2 options for the following, 2 options for the following, etc. These can be multiplied together to give us 
, which is a proof of the identity.
To learn more about combinatorial argument:
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Answer:
If both pairs of opposite sides of a quadrilateral are congruent, then it's a parallelogram (converse of a property). ... If one pair of opposite sides of a quadrilateral are both parallel and congruent, then it's a parallelogram (neither the reverse of the definition nor the converse of a property).
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer: 2. All college students
Step-by-step explanation:
A population is a large group of individuals that have some common feature by the researcher's point of interest.
Herero , the Department of Education wishes to estimate the proportion of all college students who have a job off-campus.
So , he need data of all students to compute the exact proportion.
But instead of that he surveyed 1600 randomly selected students which determine the sample.
Sample just gives the estimate of the parameter.
Hence, the population of interest to the Department of education is " All college students" .
Answer:
w≥9
Explanation: this had to be at least 20 characters long
