Practice Basic Rules Of Counting (10) - Basic Rules of Counting - Discrete Mathematics - Vol 2

Practice: Basic Rules of Counting

Lesson 10Basic Rules of Counting

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9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Using the product rule, if you have 2 flavors of ice cream and 3 types of cones, how many combinations can you create?
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Multiply the number of ice cream flavors by the number of cones.
Question 2.
If you have 4 shirts and can choose to wear either a tie or not, how many options do you have?
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Consider each shirt with two choices: with a tie or without.
3Question 3.
What does the Product Rule in counting describe?
- Adding choices
- Multiplying sequences of independent choices
- Finding overlaps
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Think about tasks done sequentially.
4Question 4.
True or False: The Pigeonhole Principle states that if you have 10 items placed into 9 containers, at least one container will hold two items.
- True
- False
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Consider containers and items.
Question 5.
You have a choice between 5 appetizers and 7 main courses for a party; how many distinct meal combinations can you create? Now include choosing 2 desserts from 4.
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Break it into parts and multiply.
Question 6.
At a contest, 100 participants are split into 90 different teams. Confirm using the pigeonhole principle that at least one team has more than one participant.
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Think about the overflow concept in containers.

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