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In nPr, n is always
- a)an integer
- b)a fraction
- c)a positive integer
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In nPr, n is alwaysa)an integerb)a fractionc)a positive integerd)none ...
n is a positive integer
Most Upvoted Answer
In nPr, n is alwaysa)an integerb)a fractionc)a positive integerd)none ...
Explanation:
nPr stands for "n Permute r" which means the number of ways of selecting and arranging r objects from a set of n distinct objects.
- n is always a positive integer because it represents the number of distinct objects in the set.
- r is also always a positive integer because it represents the number of objects that are being selected and arranged.
- Therefore, the correct answer is option C - a positive integer.
Additional Information:
nPr can be calculated using the formula:
nPr = n! / (n - r)!
where n! represents the factorial of n, which is the product of all positive integers up to n.
For example:
If you have 5 different books and you want to arrange 3 of them on a shelf, the number of ways you can do this is:
5P3 = 5! / (5-3)! = 5! / 2! = 60
This means there are 60 different ways to arrange 3 books out of 5 on a shelf.
nPr stands for "n Permute r" which means the number of ways of selecting and arranging r objects from a set of n distinct objects.
- n is always a positive integer because it represents the number of distinct objects in the set.
- r is also always a positive integer because it represents the number of objects that are being selected and arranged.
- Therefore, the correct answer is option C - a positive integer.
Additional Information:
nPr can be calculated using the formula:
nPr = n! / (n - r)!
where n! represents the factorial of n, which is the product of all positive integers up to n.
For example:
If you have 5 different books and you want to arrange 3 of them on a shelf, the number of ways you can do this is:
5P3 = 5! / (5-3)! = 5! / 2! = 60
This means there are 60 different ways to arrange 3 books out of 5 on a shelf.
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Community Answer
In nPr, n is alwaysa)an integerb)a fractionc)a positive integerd)none ...
N is the total number of ways
and r is the numberof selections from number of ways.
so, n must be a positive integer only...
and r is the numberof selections from number of ways.
so, n must be a positive integer only...
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