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Question: 1. Let S = {s1, s2,..., sn}. How many functions are there with domain S and target Z2? Of those functions, how many are one-to-one? How many are onto?
2. Draw all non-isomorphic simple graphs with four vertices. (There are 11.) Verify that the handshaking lemma holds for each graph.
3. Do it again for graphs with five vertices. How many graphs did you find?
A roast is taken from the refrigerator, where the temperature is 40? F, and put in a 350? F oven. One hour later the meat thermometer shows a temperature of 90?F. If the roast is done when its temperature reaches 140?F, what is the total time the ..
According to international business studies, there are several ways that people introduce themselves. What are some of the types of introduction?
Assume the distribution of food expenditures for the family of four follows the normal distribution, with a mean of $490 and standard deviation of $90.
Find the equilibria of the system and sketch the direction field for the system - Parameter values obtained from the Beth Israel Deaconess Medical Center.
Let n be a natural number, and let f: R-->R be the function f(x) :=x^n. Show that f is differentiable on R and f '(x)=nx^n-1 for all x belonging to R
Discuss the importance of combinatorial reasoning in gene sequencing and related problems involving genomes.
One specialist estimated a procedure at $350. A second specialist estimated the same procedure for 20% less. What was the second estimate?
a machine fills 100-pound bags with white sand. the actual weight of the sand when the machine operates at its standard
Important information about Probability and Expected Value. Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability that the second marble is blue, given that the firs..
Find the point of intersection of the given pair of straight
How many rounds are in the elimination tournament described in Exercise when there are 32 teams?
car a is travelling north at 90 kmh and car b is travelling west at 80 kmh both approaching the intersection of their
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