At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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

A Pianist Plans To Play 6 Pieces At A Recital From Her Repertoire Of 26 Pieces class=

Sagot :

Answer:

[tex]230230\text{ Recital programs are possible}[/tex]

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:

[tex]^nC_r\text{ = }\frac{n!}{(n-r)!r!}[/tex]

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

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

[tex]^{26}C_6=\text{ }\frac{26!}{(26-6)!6!}\text{ = 230230}[/tex]