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What is the value of npo
- a)zero
- b)1
- c)n
- d)n!
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What is the value ofnpoa)zerob)1c)nd)n!Correct answer is option 'B'. C...
Solution:
Given n P O.
We know that n P O = n! / (n - O)!
As per the given options, we need to find the value of n P O.
Option A: zero
If n P O = 0, then n! / (n - O)! = 0
This can happen only if n = 0 or (n - O) > n, which is not possible. Hence, option A is not correct.
Option B: 1
If n P O = 1, then n! / (n - O)! = 1
This can happen only if (n - O)! = n!
Thus, O = 0, and n P O = n P 0 = 1
Hence, option B is correct.
Option C: n
If n P O = n, then n! / (n - O)! = n
This can happen only if (n - O)! = (n - 1)!
Thus, O = 1, and n P O = n P 1 = n
Hence, option C is not correct.
Option D: n!
If n P O = n!, then n! / (n - O)! = n!
This can happen only if (n - O)! = 1
Thus, O = n, and n P O = n P n = n!
Hence, option D is not correct.
Therefore, the correct answer is option B, i.e., n P O = 1.
Given n P O.
We know that n P O = n! / (n - O)!
As per the given options, we need to find the value of n P O.
Option A: zero
If n P O = 0, then n! / (n - O)! = 0
This can happen only if n = 0 or (n - O) > n, which is not possible. Hence, option A is not correct.
Option B: 1
If n P O = 1, then n! / (n - O)! = 1
This can happen only if (n - O)! = n!
Thus, O = 0, and n P O = n P 0 = 1
Hence, option B is correct.
Option C: n
If n P O = n, then n! / (n - O)! = n
This can happen only if (n - O)! = (n - 1)!
Thus, O = 1, and n P O = n P 1 = n
Hence, option C is not correct.
Option D: n!
If n P O = n!, then n! / (n - O)! = n!
This can happen only if (n - O)! = 1
Thus, O = n, and n P O = n P n = n!
Hence, option D is not correct.
Therefore, the correct answer is option B, i.e., n P O = 1.
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Community Answer
What is the value ofnpoa)zerob)1c)nd)n!Correct answer is option 'B'. C...
From n objects you can permutate 0 things in 1 way only.(or)mathamatically
np0=n!/(n-0)!=n!/n!=1
np0=n!/(n-0)!=n!/n!=1
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What is the value ofnpoa)zerob)1c)nd)n!Correct answer is option 'B'. Can you explain this answer?
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