1 Answer

Alemjerus · Answer 1 · 2023-10-04T04:12:50+0000

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.

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