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In how many ways can a photographer at a graduation arrange one 441 professor, one 441 TA, and four 441 students, if (a) the professor

In how many ways can a photographer at a graduation arrange one 441 professor, one 441 TA, and four 441 students, if

(a) the professor must be next to the TA? (b) the professor is not next to the TA? (c) the professor is positioned somewhere to the left of the TA?

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