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If you take the word ’PENNSTATE’, how many letter arrangements can you make if: (a) repeated...

If you take the word ’PENNSTATE’, how many letter arrangements can you make if:
(a) repeated letters are treated as different?
(b) repeated letters are treated as identical?
(c) the word starts with an T and repeated letters are treated as identical?
(d) the word starts and ends with the same letter and repeated letters are treated as
identical?

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