The order of the letters in the name BERNIESANDERS are rearranged, and then each letter is either left as it is or rotated a half turn. For example: RISENEYABVNS (notice that the letters I, N, and S are unchanged when rotated!) How many ways are there for the letters in the name to be written in sequence according to these rules?
The order of the letters in the name BERNIESANDERS are rearranged, and then each letter is either left as it is or rotated a half turn. For example: RISENEYABVNS (notice that the letters I, N, and S are unchanged when rotated!) How many ways are there for the letters in the name to be written in sequence according to these rules?
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:### Rearranging Letters with Rotation: An In-Depth Look
The order of the letters in the name **BERNIE SANDERS** are rearranged, and then each letter is either left as it is or rotated a half turn. For example:
**RISENREDBAENS**
(notice that the letters I, N, and S are unchanged when rotated!) How many ways are there for the letters in the name to be written in sequence according to these rules?
### Explanation of the Process:
1. **Rearrangement**: All the letters in the name **BERNIE SANDERS** can be rearranged in any order.
2. **Rotation**: Each letter in the rearranged version can either stay the same or be rotated 180 degrees (a half turn).
### Important Note:
- The letters **I, N,** and **S** remain the same even when rotated.
### What to Consider:
- The total number of unique rearrangements of the name.
- The possible rotations for each letter that can be rotated.
### Question for Exploration:
How many ways are there for the letters in the name to be written in sequence according to these rules?
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