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

A Musician Plans To Perform 5 Selections In How Many Ways Can The Musician Arrange The Musical Selections class=

Sagot :

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,

[tex]\begin{gathered} ^5C_1\times^4C_1\times^3C_1\times^2C_1\times^1C_1=5\times4\times3\times2\times1 \\ =120\text{ ways} \end{gathered}[/tex]

Hence, the answer is 120 ways.

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