Question

A musician plans to perform 5 selections. In how many ways can the musician arrange the musical selections?

Answer 1

Given:

A musician plans to perform 5 selections.

To find the total number of possible ways he can arrange the musical selections:

At the first time, there are 5 possibilities to make the musical selections.

At the second time, there will be 4 possibilities to make the musical selections.

At the third time, there will be 3 possibilities to make the musical selections.

At the fourth time, there will be 2 possibilities to make the musical selections.

At the fifth time, there will be 1 possibility to make the musical selections.

So, we have,

`\begin{gathered} ^5C_1*^4C_1*^3C_1*^2C_1*^1C_1=5*4*3*2*1 \\ =120\text{ ways} \end{gathered}`

Hence, the answer is 120 ways.