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=(n!)/(r!(n-r)!)`

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

`C_8^(11)=(11!)/(8!(11-8)!)=(11*10*9*8!)/(8!*3!)=(11*10*9)/(3*2)=11*5*3=165`

Hence, the required combinations are 165.