Answer:
[tex] nCx = \frac{n!}{x! (n-x)!}[/tex]
On this case n =6 and x =6 we got:
[tex] 6C6 = \frac{6!}{6! (6-6)!} = \frac{6!}{6! 0!}= \frac{6!}{6!}=1[/tex]
Step-by-step explanation:
The utility for the combination formula is in order to find the number of ways to order a set of elements
For this case we want to find the following expression:
[tex] 6C6[/tex]
And the general formula for combination is given by:
[tex] nCx = \frac{n!}{x! (n-x)!}[/tex]
On this case n =6 and x =6 we got:
[tex] 6C6 = \frac{6!}{6! (6-6)!} = \frac{6!}{6! 0!}= \frac{6!}{6!}=1[/tex]
