Question

Evaluate Combination (6,6)

Answer 1

`nCx = (n!)/(x! (n-x)!)`

On this case n =6 and x =6 we got:

`6C6 = (6!)/(6! (6-6)!) = (6!)/(6! 0!)= (6!)/(6!)=1`

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:

`6C6`

And the general formula for combination is given by:

`nCx = (n!)/(x! (n-x)!)`

On this case n =6 and x =6 we got:

`6C6 = (6!)/(6! (6-6)!) = (6!)/(6! 0!)= (6!)/(6!)=1`