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Flashcards on Basics of Project Activities. Understanding of Combinatorics.
Click on the flashcard to see the answer
What is project activity?
A planned action or task designed to achieve a specific goal.
What is combinatorics?
The branch of mathematics that deals with counting, arranging, and selecting objects.
What are the two main principles in combinatorics?
Permutations and combinations.
What is the difference between permutations and combinations?
Permutations consider the order of objects, while combinations do not.
What is the formula for permutations?
nPr = n! / (n-r)!
What is the formula for combinations?
nCr = n! / (r!(n-r)!)
How many ways can you arrange 5 objects in a row?
120
In how many ways can you choose 3 objects out of 10?
120
What is the total number of objects in a deck of playing cards?
52
How many ways can you choose a president, vice president, and secretary from a group of 10 people?
720
What is the multiplication principle in combinatorics?
If there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.
True or False: The order of objects matters in combinations.
False
True or False: Permutations can have repetitions of objects.
False
True or False: The number of combinations is always greater than the number of permutations.
True
What is the factorial of 6?
720
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Test Your Knowledge
What is project activity?
A mathematical concept.
A planned action or task designed to achieve a specific goal.
A type of game.
A scientific experiment.
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What is combinatorics?
The study of planets.
The branch of mathematics that deals with counting, arranging, and selecting objects.
The study of chemical reactions.
The study of plant biology.
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What is the difference between permutations and combinations?
Permutations consider the order of objects, while combinations do not.
Permutations involve addition, while combinations involve subtraction.
Permutations involve multiplication, while combinations involve division.
Permutations consider repetition, while combinations do not.
Check Answers
What is the formula for permutations?
nPr = n^r
nPr = n! / r!
nPr = n! / (n-r)!
nPr = n * r
Check Answers
What is the formula for combinations?
nCr = n^r
nCr = n! / (r!(n-r)!)
nCr = n! / r!
nCr = n * r
Check Answers
How many ways can you arrange 5 objects in a row?
5
120
720
20
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In how many ways can you choose 3 objects out of 10?
30
120
210
45
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What is the total number of objects in a deck of playing cards?
52
54
56
50
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What is the multiplication principle in combinatorics?
If there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.
If there are m ways to do one thing and n ways to do another thing, then there are m + n ways to do both things.
If there are m ways to do one thing and n ways to do another thing, then there are m - n ways to do both things.
If there are m ways to do one thing and n ways to do another thing, then there are m / n ways to do both things.
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True or False: The number of combinations is always greater than the number of permutations.
True
False
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