Final answer:
To create a Turing machine that accepts the language {permutation of anbncn n > 1}, follow these steps: count the number of 'a's, 'b's, and 'c's in the input string; check if the number of 'b's or 'c's is not equal to the number of 'a's; replace the first 'b' or 'c' with 'X' or 'Y' if their numbers exceed the number of 'a's; reject the input if 'X' or 'Y' remain at the end; otherwise, accept the input.
Step-by-step explanation:
To create a Turing machine that accepts the language {permutation of anbncn n > 1}, we can use the following approach:
1. Start by counting the number of 'a's, 'b's, and 'c's in the input string.
2. If the number of 'b's or 'c's is not equal to the number of 'a's, reject the input.
3. If the number of 'b's is greater than the number of 'a's, move to the right through the input and replace the first 'b' with 'X'.
4. If the number of 'c's is greater than the number of 'a's, move to the right through the input and replace the first 'c' with 'Y'.
5. Repeat steps 3 and 4 until there are no more 'b's or 'c's to replace.
6. If you reach the end of the input with one or more 'X's or 'Y's still remaining, reject the input. Otherwise, accept the input.