Question

A coordinator will select 7 songs from a list of 10 songs to compose an events musical entertainment lineup. How many different lineups are possible

Answer 1

$\boldsymbol{\mathbf{Answer}}$

$\boldsymbol{\mathbf{604800\,different\, line \,ups \,are\, possible}}$

$\boldsymbol{\mathbf{Step-by-step explanation}}$

Co-ordinator selected 7 songs out of 10 songs..

To find the how many different sequences are possible.

= ${10}\times{9}\times{8}\times{7}\times{6}\times{5}\times{4}$

= 604800 ways.

$\boldsymbol{\mathbf{604800\,different\, line \,ups \,are\, possible}}$