Practice Discrete Mathematics (17.1) - Module No#08 - Discrete Mathematics

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9 questions

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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the midpoint of the points (2, 4) and (6, 8)?
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Use the midpoint formula, averaging x and y coordinates.
Question 2.
How many pairs of numbers from 1 to 8 can add to 9?
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List down numbers and see which pairs sum to 9.
3Question 3.
What is the midpoint of (4, 6) and (8, 10)?
- (6
- 8)
- (12
- 16)
- (3
- 5)
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Use the formula M = ((x1 + x2) / 2, (y1 + y2) / 2).
4Question 4.
True or False: The Pigeonhole Principle states that if n items are put into m containers, with n > m, at least one container must be empty.
- True
- False
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Think about how items distribute into containers.
Question 5.
Create a set of 10 numbers all distinct, find a pair among them that sums to a given number using pigeonhole principle.
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What number pairs in your set could equal the desired sum?
Question 6.
Demonstrate with an example how the pigeonhole principle guarantees an outcome involves at least one integer midpoint.
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Sum the coordinates and look for evenness.

5 more questions in this section. Enroll free to practise them all.