How to Select a Project Team: Calculating Combinations and Probabilities

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SUMMARY

This discussion focuses on calculating combinations and probabilities in project team selection and contract bidding scenarios. In the first question, the selection of a project team from three team leaders and ten programmers requires at least three programmers and one team leader, leading to a combinatorial calculation. The second question involves determining the probabilities of obtaining two independent contracts, with specific probabilities of 0.6 for contract A and 0.3 for contract B, requiring the application of probability rules for independent events.

PREREQUISITES
  • Understanding of combinatorial mathematics, specifically combinations
  • Knowledge of basic probability theory and independent events
  • Familiarity with the concepts of permutations and combinations
  • Ability to apply mathematical formulas for team selection and probability calculations
NEXT STEPS
  • Study combinatorial mathematics, focusing on the formula for combinations
  • Learn about probability rules for independent events and their applications
  • Explore advanced topics in permutations and combinations for complex scenarios
  • Practice solving real-world problems involving team selection and contract bidding
USEFUL FOR

This discussion is beneficial for IT project managers, data analysts, and students studying combinatorial mathematics and probability theory, particularly those involved in team formation and contract negotiations.

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 independent 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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Please post your attempt at solving the problem. These are basic problems in Permutations and Combinations/Probability.
 
And since I can't imagine wanting to solve such a problem except for homework, I am moving it.
 

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