Combinatorics problem, show all work. 6. We are seating 13 people on one side of a...
Combinatorics problem, show all work.
6. We are seating 13 people on one side of a rectangular table (like Da Vinci's painting of the Last Supper.)
a. How many ways can we seat them?
b. How many ways can we do it if Doug refuses to sit next to Gordon?
c. How many ways can we do it if Doug insists on sitting to the right of Gordon (not necessarily next to him)*?
*For this part, I may sit next to him, I may not, but I must be on his right.
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