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

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How many permutations of the numbers 10 through 14 are there?

The number of permutations of a set of distinct objects is calculated using the factorial of the number of objects. For the numbers 10 through 14, there are 5 distinct numbers (10, 11, 12, 13, and 14). Therefore, the number of permutations is 5! (5 factorial), which equals 5 × 4 × 3 × 2 × 1 = 120.


How many permutations are there of 8 things?

The number of permutations of 8 distinct things is given by 8 factorial, denoted as 8!. This is calculated as 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1, which equals 40,320. Therefore, there are 40,320 permutations of 8 distinct items.


Find the number of permutations of n objects when arranged (n and ndash 1) at a time for any positive integer n.?

The number of permutations of ( n ) objects taken ( n-1 ) at a time is given by the formula ( P(n, n-1) = \frac{n!}{(n - (n-1))!} = \frac{n!}{1!} = n! ). Therefore, the number of such permutations simplifies to ( n \times (n-1)! ), which equals ( n! ). Thus, for any positive integer ( n ), the number of permutations of ( n ) objects arranged ( n-1 ) at a time is ( n \times (n-1)! ).


How many permutations are there if the letters PNRCSE are taken six at a time?

The letters in "PNRCSE" are all unique, and since there are six letters, the number of permutations of these letters taken six at a time is simply the factorial of 6. Thus, the number of permutations is 6! (6 factorial), which equals 720.


What divided by what equal 16?

32 divided by 2 equals 16. 48divided by 3 equals 16. 64 divided by 4 equals 16. 16 divided by 1 equals 16.

Related Questions

How many permutations of the numbers 10 through 14 are there?

The number of permutations of a set of distinct objects is calculated using the factorial of the number of objects. For the numbers 10 through 14, there are 5 distinct numbers (10, 11, 12, 13, and 14). Therefore, the number of permutations is 5! (5 factorial), which equals 5 × 4 × 3 × 2 × 1 = 120.


How many permutations are there of 8 things?

The number of permutations of 8 distinct things is given by 8 factorial, denoted as 8!. This is calculated as 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1, which equals 40,320. Therefore, there are 40,320 permutations of 8 distinct items.


Find the number of permutations of n objects when arranged (n and ndash 1) at a time for any positive integer n.?

The number of permutations of ( n ) objects taken ( n-1 ) at a time is given by the formula ( P(n, n-1) = \frac{n!}{(n - (n-1))!} = \frac{n!}{1!} = n! ). Therefore, the number of such permutations simplifies to ( n \times (n-1)! ), which equals ( n! ). Thus, for any positive integer ( n ), the number of permutations of ( n ) objects arranged ( n-1 ) at a time is ( n \times (n-1)! ).


What is 279 divided by 9?

31


How mass affects an objects density?

Mass divided by volume equals density. For the same volume, if the mass is more then the density is higher.


If 6a divided by 2 equals 12 then A equals?

If 6a divided by 2 equals 12 then A equals


What divided by what equal 16?

32 divided by 2 equals 16. 48divided by 3 equals 16. 64 divided by 4 equals 16. 16 divided by 1 equals 16.


Is 35 divided by 8 equals 7?

No. 35 divided by 8 equals 4.375 .35 divided by 5 equals 7 .


What divided by what equals 13?

1 divided by 13 equals 13


What divided by what equals 15?

30 divided by 2 equals 15 :)


158 divided by 45 equals what?

3.5111


What is 66 divided by 11 equals?

6