l 18 Ordered Partitions of 6

Enter population n

Enter people in each group

  

Answer
Success!
a = 17153136

↓Steps Explained:↓



How many ways (ordered) can you:

Arrange 18 into groups of 6?

Calculate small groupings (k):

k  =  n
  m

k  =  18
  6

k = 3

a  =  18!
  6!3

Calculate factorial

Remember our factorial lesson that:

n! = n * (n - 1) * (n - 2) * .... * 2 * 1

Plug in n = 18

18! = 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

18! = 6402373705728000

6! = 6 x 5 x 4 x 3 x 2 x 1

6! = 720, so we have:

a  =  18!
  7203

a  =  6402373705728000
  373248000

Final Answer

a = 17153136

Related Calculators:  Cox-Ross-Rubenstein Pricing  |  Permutations and Combinations Operations  |  Multifactorials
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