Discrete Structures.

 

1.Calculate the number of integers divisible by 4 between 50 and 500, inclusive.

 

 

2.Hexadecimal digits are formed using either a numeric decimal digit or a letter from A to F. How many possible digits can be chosen? Did you use the sum rule or the product rule?

 

3.A combination lock requires three numbers from 1 to 25. How many combinations are possible? Did you use the sum rule or the product rule? (Note that although we use the term combination with locks, order matters.)

 

4.Use the permutation formula to calculate the number permutations of the set {a, b, c, d} taken two at a time. Also list these permutations.

 

5.Using the pigeonhole principle, show that any 11 digit decimal number must contain two instances of some decimal digit.

History essay.

Write essays of about one and one half pages each on two of the following questions. Please include at least one picture with each essay.

  1. Native Cultures. Examine the history of native cultures in three different parts of North America before the 1600s. What common characteristics do you see among the various native cultures? In what ways were native cultures different from each other?
  1. The Spanish. Explain the causes and consequences of Spanish involvement in the Americas from the 1400s to the 1600s. What do you see as the long range impact of these developments?
  1. The Atlantic World. Explain how you see various parts of the world coming together in Chapters 1-3. What was driving global trade in the era from about 1400-1700? How did the rise of global trade affect people in Africa, Europe, and the Americas?
  1. Southern Colonies. Examine at least two of the English colonies featured in Chapter 3.   What patterns do you see in English colonization that would affect our history?   What do you find notable about the societies and economies developing in the 1600s?

HR Management:Leadership Development.

Need paper in HR Management class on Leadership Development. APA style MUST HAVE 10 – 12 pages without counting the title and reference pages.  Must contain detail and substance.

Topic Leadership Development, sub-topic Leadership, Talent Identification,  Individual Development Planning and

Succession Planning