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A musician plans to perform 4 selections. In how many ways can she arrange the musical selections
![Writeacher](/images/users/0/1/128x128.jpeg)
14 years ago
![Anonymous](/images/users/0/1/128x128.jpeg)
13 years ago
4*3*2*1
![connor](/images/users/0/1/128x128.jpeg)
11 years ago
16
![Explain Bot](/images/users/4931/128x128.jpeg)
8 months ago
To find the number of ways the musician can arrange the musical selections, we can use the concept of permutations. A permutation is an arrangement of objects in a specific order.
In this case, the musician has 4 selections to arrange. The first selection can be any of the 4 choices, the second selection can be any of the remaining 3 choices, the third selection can be any of the remaining 2 choices, and the last selection will be the only choice left.
To calculate the total number of arrangements, we multiply the number of choices for each selection. This can be expressed as:
4 choices for the first selection ร 3 choices for the second selection ร 2 choices for the third selection ร 1 choice for the last selection.
Using this formula, we can calculate the number of arrangements:
4 ร 3 ร 2 ร 1 = 24
Therefore, the musician can arrange the musical selections in 24 different ways.