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A computer programming team has 12 members.
(a) How many ways can a group of 7 (out of the 12 members) be chosen to work on a special project? Explain.
(b) Suppose that out of the 12 members on the team 7 are IT majors and 5 are math majors.
(i) How many groups of 7 people can be formed that contain 4 IT majors and 3 math majors? Explain.
(ii) How many groups of seven can be formed that contain a least 1 IT major? Explain.
(c) Suppose that two team members (of the 12 of either major) refuse to work together. How many groups of seven can be chosen to work on a project? Explain.
(d) Suppose that two team members insist on either working together or not at all on projects. (That is, either the two people both work on the project together or neither will work on the project.) How many groups of seven can be chosen to work on a project? Explain.
Operations Research: Duals Q. Write the dual of this problem, sketch the feasible region of the dual, and find the dual solution graphically
Think of a mathematical function that represents something from your own life. For example, suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function w..
Simply supported beam- Maximum bending moment, The bending moment M at position x m from the end of a simply supported beam of length L m carrying a uniformly distributed load of w Kn m-1 is given by
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The credit remaining on a phone card is a linear function of the total calling time. The function gives a line with a slope of -.32, when graphed.
Permutation and combination
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ased upon statistical studies it has been found that 3.32% of all births in the United States will result in twins being born. If 17,300 births are selected at random what is the probability that: Find the Probability of Twin Births
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In the page 82 B(G) is defined like independent sets like you say but in the page 187 it other kind of B and it is define like Betti number and it is defined below
A coin is biased to show 38% heads and 62% tails. The coin is tossed twice. What is the probability that the coins turns heads on the second toss?
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