SOLUTION: Find the number of ways that 9 persons can arrange themselves:
a) around a table where two of them sit beside each other;
b) around a table (no restrictions);
c) in a row of
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-> SOLUTION: Find the number of ways that 9 persons can arrange themselves:
a) around a table where two of them sit beside each other;
b) around a table (no restrictions);
c) in a row of
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Question 1184483: Find the number of ways that 9 persons can arrange themselves:
a) around a table where two of them sit beside each other;
b) around a table (no restrictions);
c) in a row of 9 chairs. Answer by ikleyn(52780) (Show Source):
a) around a table where two of them sit beside each other;
2*(9-2)! = 2*7! = 2*5040 = 10080. ANSWER
b) around a table (no restrictions);
(9-1)! = 8! = 40320. ANSWER
c) in a row of 9 chairs.
9! = 362880. ANSWER