Permutations and Combinations
Bihar Board · Class 11 · Mathematics
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Quick Quiz: Permutations and Combinations
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What is the fundamental principle of counting?
What does the notation 5! represent?
What is the number of permutations of 4 different objects taken 2 at a time (without repetition)?
In a combination, what is unique about the order of selection?
Sample Questions
What is the relationship between nPr and nCr?
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nPr = nCr × r!
Permutations (nPr) equal combinations (nCr) multiplied by the factorial of r, representing the number of ways to arrange r selected objects.
What is 0! defined as?
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1
By mathematical definition, 0! is defined as 1, which helps maintain consistency in factorial calculations.
In the formula nCr, what does 'r' represent?
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Number of objects being selected
In the combination formula nCr, 'r' represents the number of objects being selected from a total of 'n' objects.
What does the multiplication principle help us calculate?
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Total number of ways multiple independent events can occur
The multiplication principle helps calculate the total number of ways multiple independent events can occur by multiplying the number of ways each event can happen.
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