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If you are dealt 5 cards from a shuffled deck of 52? cards, find the probability of getting two queens and three kings.
Seven women and nine men are on the faculty in the mathematics department at a school. How many ways are there to select a committee of ?ve members of the department if at least one woman must be on the committee
A star is a another name for a tree with one vertex connected to each of n other vertices. (So a star has n + 1 vertices.) What are the size of a maximum matching and a minimum vertex cover in a star with n + 1 vertices?
Let C = {1, 2, 3, 4} and D = {a, b, c, d}. Define a function G: C ? D by the following arrow diagram.
Suppose that we know that P(E1) = 3/8 and that P(E2) = 3/9. How large and how small might P(E1 and E2) and P(E1 or E2) be?
Prove that ab has order 6 by showing none of (ab) 2 , (ab) 3 , . . . , (ab) 5 are equal to e, but (ab) 6 = e. Given an example of a group and elements a and b such that a has order 3, b has order 2, and bab-1= a-1.
Solve the systems of equations .It is necessary to set up the appropriate equations. All numbers are accurate to at least three significant digits.
Q1. Using the Internet, find out more about content management systems (CMSs). What primary purposes do they serve?
Combine from JPE, Fall 90 and Spring 97) Let A ∈ C^(n X n) be a normal matrix. Prove that A - M is normal for any λ ∈ C. Prove that ||Ax||2 - ||∧*x||2 for all x ∈ C^n
you decide to invest 15000 into a bank account that that is compounding its interest monthly. assuming the bank is
your firm is considering the following three alternative bank loans for 1000000a 10 loan paid at year end with no
A sawmill runs for three 4-hour shifts per day. It produces 500 2x4's per hour, which are divided into 50 piece bundles automatically. If a forklift operator is able to load 10 bundles of 2x4's per hour, how many hours will it take the operator to..
A recent article suggested that if you earn $25,000 a year today and the inflation rate continues at 3 percent per year, you'll need to make $33,598 in 10 years to have the same buying power.
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