Question

Edward will choose 8 songs to listen to during his exercise workout. If there are 11 songs to choose from, how many different exercise song combinations are possible?

Answer 1

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

$C_8^{11}$

Now,the general fornm is written as

$C_r^n=\frac{n!}{r!(n-r)!}$

Here n = 11 and r = 8. On solving we have

$C_8^{11}=\frac{11!}{8!(11-8)!}=\frac{11\times10\times9\times8!}{8!\times3!}=\frac{11\times10\times9}{3\times2}=11\times5\times3=165$

Hence, the required combinations are 165.