In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a conference

Wotzdorfg 2021-03-02 Answered
In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a conference
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

timbalemX
Answered 2021-03-03 Author has 108 answers
Step 1
We can interpret this question as how to split seven students into groups of 3, 2 and 2.
Step 2
The number of ways of partitioning a set of n objects into r cells with n1 elements in the first cell, n2 elements in the second, and so on so forth, is n!n1! n2!  nr!
Therefore, the number of ways that 7 graduate students be assigned to one triple and two double hotel rooms during a conference is:
=7!3! 2! 2!
=504024
=210
Not exactly what you’re looking for?
Ask My Question
Answered 2021-10-29
in how many ways can 7 graduate students be assigned to one triple and two double hotel rooms during a conference
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2020-11-01
Solve the following problems applying Polya’s Four-Step Problem-Solving strategy.
If six people greet each other at a meeting by shaking hands with one another, how many handshakes take place?
asked 2020-11-01
Give full and correct answer for this questions 1) The standard erroe of the population mean can be estimated by 2)For an experiment comparing two treatment conditions, an independent-measures design would obtain ? score(s) for each subject and a repeated-measures design would obtains ? score(s) for each subject. 3) Which of the following describes an independent-measures research study?
asked 2020-12-05
Solve given Inferences involving two populations Inference about two Population Proportions:
Independent Samples:
A government housing agency is comparing home ownership rates among several immigrant groups. In a sample of 235 families who emigrated to the U.S. from Eastern Europe five years ago, 165 now own homes. In a sample of 195 families who emigrated to the U.S. from Pacific islands five years ago, 125 now own homes.
asked 2021-10-11
a) Explain the reasons for the data set not being paired.
b) Determine the sample with larger mean and explain how it is determined.
c) Test whether the population mean birth weight is greater for mothers who do not smoke using a significance level of 0.05.
asked 2020-12-12
Ozone The Environmental Protection Agency is examin- ing the relationship between the ozone level (in parts per million) and the population (in millions) of U.S. cities.
Part of the regression analysis is shown.
Dependent variable is: Ozone
R-squared =84.4%
s=5.454 with 162=14 df
Variable Coefficient SE(Coeff)
Intercept 18.892 2.395
Pop 6.650 1.910
a) We suspect that the greater the population of a city, the higher its ozone level. Is the relationship significant? Assuming the conditions for inference are satisfied, test an appropriate hypothesis and state your conclu- sion in context.
b) Do you think that the population of a city is a useful predictor of ozone level? Use the values of both R2 and s in your explanation.
asked 2021-10-23
Does regular exercise reduse the risk of a heart attack? Provided are two ways to study this question.
1. A researcher finds 2000 men older than age 40 who exercise regularly and have not had heart attacks. She matches each with a similar man who does not exercise regularly, and she follows both groups for 5 years.
2. Another researcher finds 4000 men older than age 40 who have not had heart attacks and are willing to participate in a study. She assigns 2000 of the men to a regular program of supervised exercise. The other 2000 continue their usual habits. The researcher follows both groups for 5 years,
Select the correct explanation clearly detailing why the second design will produce more trustworthy data.
1) The first design is an observational study whereas the second design is an experiment. Assigning subjects to treatments, as in the second design, avoids confounding.
2) In the second design, the subjects are chosen in a random fashion, whereas in the first design the subjects from the second group are matched to the subjects in the first group.
3) The first design is an experiment whereas the second design is an observational study. Assigning subjects to treatments, as in the first design, does not avoid confounding.
4) In the first design, subjects are assigned to groups based on their own habits. There may be other factor (e.g., personality type or genetic background) that make one more likely to exercise and less (or more) likely to have a heart attack.
asked 2020-11-08
Give a ffull answer its true or false: When an ANOVA comparing the means of 3 groups indicates that at least one group is different from the others, a common follow-up analysis to determine which group(s) is (are) different is pairwise two-sample t-tests each assessed using i) the pooled standard deviation when calculating the standard error for the difference in means and ii) a Bonferonni-corrected alpha level of 0.0167 to control the type I error rate for the overall inference to 5%