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At a benefit concert, 13 bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?

Respuesta :

JeanaShupp

Answer: 51891840

Step-by-step explanation:

Given : Total bands = 13

Possible number of bands can perform= 8

For arranging in order we use permutations.

By using permutations, the number of  lineups are possible = [tex]^{13}P_8=\dfrac{13!}{(13-8)!}[/tex]

[tex]=\dfrac{13!}{5!}\\\\=\dfrac{13\times12\times11\times10\times9\times8\times7\times6\times5!}{5!}\\\\=51891840[/tex]

Hence, there are total 51891840 line ups are possible.

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