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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]

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