Question

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

Answer 1

`C(6,6)=1`

Explanation:

`C(6,6)`: 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`