Given that Edward will choose 8 songs to listen to during the workout from 11 songs and we need to find the possible combinations.
Then, the required combinations will be
[tex]C_8^{11}[/tex]Now,the general fornm is written as
[tex]C_r^n=\frac{n!}{r!(n-r)!}[/tex]Here n = 11 and r = 8. On solving we have
[tex]C_8^{11}=\frac{11!}{8!(11-8)!}=\frac{11\times10\times9\times8!}{8!\times3!}=\frac{11\times10\times9}{3\times2}=11\times5\times3=165[/tex]Hence, the required combinations are 165.
