Question

A pianist plans to play 6 pieces at a recital from her repertoire of 26 pieces.

Answer 1

`230230\text{ Recital programs are possible}`

Step-by-step explanation:

Here, we want to get the number of possible recital programs

We are not concerned about arrangements here

Thus, we have to use combination

We have this as:

`^nC_r\text{ = }(n!)/((n-r)!r!)`

where in this case, n is 26 and r is 6

Substituting the values in the combination formula, we have it that:

`^(26)C_6=\text{ }(26!)/((26-6)!6!)\text{ = 230230}`