How to Select a Project Team: Calculating Combinations and Probabilities

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In summary, the conversation is about two different questions. The first question asks how many ways a project team can be selected from a group of three team leaders and ten programmers. The second question involves an IT consultant bidding for two contracts with different probabilities of obtaining each one. The desired probabilities of obtaining both contracts and at least one contract are also mentioned. These questions pertain to basic problems in Permutations and Combinations and Probability.
  • #1
pauliedangerous
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please help me if you have the time, thanks in advance :)

Question 1 :

An IT department has three team leaders and ten programmers. A project team consisting of Five staff is to be selected and it must include at least three programmers and one team leader. How many different ways can the team be selected?

Question 2:

An IT consultant bids for two independant contracts with local companies. The consultant estimates that the probability that he obtains contract A is 0.6 and the probability that he obtains contract B is 0.3. What is the probability :

i) he obtains both contracts?
ii) he obtains at least one contract?
 
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  • #2
Please post your attempt at solving the problem. These are basic problems in Permutations and Combinations/Probability.
 
  • #3
And since I can't imagine wanting to solve such a problem except for homework, I am moving it.
 

FAQ: How to Select a Project Team: Calculating Combinations and Probabilities

What is the significance of the "Two Questions" in scientific research?

The "Two Questions" refer to the two main components of any scientific inquiry: the research question and the hypothesis. The research question is the overarching question that the researcher aims to answer through their study, while the hypothesis is a proposed explanation or prediction for the outcome of the study. These two questions form the foundation of the scientific method and guide the entire research process.

How do you formulate a good research question?

A good research question should be specific, clear, and relevant to the topic at hand. It should also be feasible to answer through the available resources and methods. It is important to carefully consider the scope and objective of the research in order to formulate a meaningful and relevant question that can be effectively addressed through the study.

What is the purpose of a hypothesis in scientific research?

A hypothesis serves as a proposed explanation or prediction for the outcome of a study. It is based on existing knowledge and observations, and provides a framework for guiding the research and interpreting the results. A well-formulated hypothesis can help researchers focus their efforts and determine the best approach for gathering and analyzing data.

Can a research question or hypothesis change during a study?

Yes, it is common for research questions and hypotheses to evolve or change during the course of a study. This may be due to new information or unexpected findings that arise during the research process. It is important for researchers to remain open-minded and adaptable, and to carefully consider any modifications to the original research question or hypothesis.

Are there any limitations to the "Two Questions" approach in scientific research?

While the "Two Questions" provide a solid foundation for scientific research, there are some limitations to this approach. For example, it may not be suitable for more exploratory or qualitative studies. Additionally, the research question and hypothesis may need to be revised or refined as more information is gathered and analyzed. It is important for scientists to critically evaluate their approach and make adjustments as needed in order to ensure the validity and reliability of their research.

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