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n= total number and r= total number chosen

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Q: How do you know what is the n is in nPr and r is r in nPr?
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The number of permutations of n distinct objects taken r at a time is nPr equals n divided by n-r?

nPr is n!/(n-r)!. The ! is factorial; for example 5! = 5*4*3*2*1.


How do you write a combination and permutation formula?

The combination formula is usually written as nCr representing the number of combinations of r objects at a time taken from n. nCr = n!/[r!*(n-r)!] The permutation formula is usually written as nPr representing the number of permutations of r objects at a time taken from n. nPr = n!/r! Where n! [n factorial] is 1*2*3*....*(n-1)*n


How many different 3 digit combinations can there be if the digits are distinct?

With 3 digit numbers there are 10 digits (0, 1, ..., 9) from which to select 3 different digits. This can be done in: 10C3 = 10! / (10-3)!3! = 120 ways. For a set with n items, r of them can be selected (permuted) in: n x (n-1) x ... x (n - (r +1)) = n! / (n-r)! = nPr ways. However, if the order of selection does not matter (just the combination of the r items) then the selected items can be chosen in r x (r-1) x ... x 1 = r! ways. Meaning there are nPr / r! = nCr = n! / (n-r)!r! combinations possible.


How many 5-number combinations are there for numbers 1-45?

This is a Permutation problem; nPr. This is: n!/(n-r)! or 45!/(45-5)! = 146611080.


What are the 6 combination numbers there in 55 numbers?

I am not stupid enough to try and list them since there are 55*54*53*52*51*50/(6*5*4*3*2*1) = 28,989,675 combinations. nPr=permutation while nCr=combination. The question is how many combination of 6 are there in 55 numbers. So the answer should be based on the formula: nPr = n!/(n-r)! where ! is factorial and nCr = nPr/r! = n!/{(n-r)*r!} ; So using the formula should look likr this 55C6 = 55!/{(55-6)!*6!} = 55!/(49!*6!) = 28,989,675

Related questions

The number of permutations of n distinct objects taken r at a time is nPr equals n divided by n-r?

nPr is n!/(n-r)!. The ! is factorial; for example 5! = 5*4*3*2*1.


How do you write a combination and permutation formula?

The combination formula is usually written as nCr representing the number of combinations of r objects at a time taken from n. nCr = n!/[r!*(n-r)!] The permutation formula is usually written as nPr representing the number of permutations of r objects at a time taken from n. nPr = n!/r! Where n! [n factorial] is 1*2*3*....*(n-1)*n


What is the formula for finding permutations?

The number of permutations of r objects selected from n different objects is nPr = n!/(n-r)! where n! denotes 1*2*3*,,,*n and also, 0! = 1


How many different 3 digit combinations can there be if the digits are distinct?

With 3 digit numbers there are 10 digits (0, 1, ..., 9) from which to select 3 different digits. This can be done in: 10C3 = 10! / (10-3)!3! = 120 ways. For a set with n items, r of them can be selected (permuted) in: n x (n-1) x ... x (n - (r +1)) = n! / (n-r)! = nPr ways. However, if the order of selection does not matter (just the combination of the r items) then the selected items can be chosen in r x (r-1) x ... x 1 = r! ways. Meaning there are nPr / r! = nCr = n! / (n-r)!r! combinations possible.


How many 5-number combinations are there for numbers 1-45?

This is a Permutation problem; nPr. This is: n!/(n-r)! or 45!/(45-5)! = 146611080.


What are the 6 combination numbers there in 55 numbers?

I am not stupid enough to try and list them since there are 55*54*53*52*51*50/(6*5*4*3*2*1) = 28,989,675 combinations. nPr=permutation while nCr=combination. The question is how many combination of 6 are there in 55 numbers. So the answer should be based on the formula: nPr = n!/(n-r)! where ! is factorial and nCr = nPr/r! = n!/{(n-r)*r!} ; So using the formula should look likr this 55C6 = 55!/{(55-6)!*6!} = 55!/(49!*6!) = 28,989,675


What is a general equation that expresses the relationship between permuation nPr and combination nCr?

nCr = nPr/r!


How many different combinations of 7 numbers are there?

5040, the different number of combinations, or permutations, can be calculated using the nPr button on a scientific calculator, and finds the number of ways a subset of r elements can be ordered from a set of n elements using the function n!/(n-r)! * * * * * The answer is wrong. A permutaion is not the same as a combination. In permutations 123 is differrent from 213, or 312, or 321. But they all are the same combination. So, what you want is not the nPr button but the nCr button. nCr = n!/[r!*(n-r)!] So, from the 10 digits available, there are 10!/[7!*3!] = 120 combinations of 7 numbers.


There are 20 students participating in a math bee How many ways can the students be chosen to go first second third and fourth?

20 * 19 * 18 * 17 = 116,280 ways This is Permutation: nPr = n! / (n-r)!


How many combinations of 3 numbers are possible from 17 numbers?

Formula: nPr where n is the number of things to choose from and you choose r of them 17P3 = 17!/ (17-3)! = 4080


What is NPR in Isuzu trucks means?

The abbreviation NPR does not stand for anything in particular, in an Isuzu. All it means is that the particular vehicle is part of the N-series from the manufacturer.


What does NPR means in Isuzu trucks?

NPR is something that is used to show that the specific Isuzu is part of the N-series trucks. It does not have a specific meaning behind the abbreviation.