# How do you find the value of the combination C(6,6)?

Feb 1, 2016

$C \left(6 , 6\right) = 1$

#### Explanation:

$C \left(6 , 6\right)$: the number of ways of choosing $6$ items from a population of $6$ items (when order of choice is irrelevant).

With only a little thought, it should be obvious that there is only $1$ way to select all items from a group.

If you wish to use the general formula C(n,a) = (n!)/(a!(n-a)!)

color(white)("XXX")C(6,6) =(6!)/(6!*0!) =cancel(6!)/(cancel(6!)*1) = 1/1 =1