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Category > Math Posted 21 Aug 2017 My Price 9.00

Explain the pigeonhole principle. Provide an example that illustrates the use of the pigeonhole principle.

Thank you always friend. Keep up the good work!!!!!!!!!

Homework 7 1. Calculate the number of integers divisible by 4 between 50 and 500, inclusive. (20 points) 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? (20 points) 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.) (20 points) 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. (20 points) 5. Using the pigeonhole principle, show that any 11 digit decimal number must contain two
instances of some decimal digit. (20 points) Grading Rubric:
Question
Question 1 Question 2 Meets
20 points
Innovative and correct method of
solution. Does not Meet
0 points
Solution not described, or not
correct. Calculations and supporting
evidence are complete and correct
for the problem. Calculations and supporting
evidence are incorrect or not
present. Solution is neat, well-organized
and well-written.
20 points
Innovative and correct method of
solution. Solution is unorganized and
poorly written.
0 points
Solution not described, or not
correct.
1 Question 3 Question 4 Question 5 Calculations and supporting
evidence are complete and correct
for the problem. Calculations and supporting
evidence are incorrect or not
present. Solution is neat, well-organized
and well-written.
20 points
Innovative and correct method of
solution. Solution is unorganized and
poorly written.
0 points

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Status NEW Posted 21 Aug 2017 02:08 PM My Price 9.00

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