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To find the number of different seating arrangements of 10 people in 5 chairs, we can use the permutation formula ( P(n, r) = \frac{n!}{(n - r)!} ), where ( n ) is the total number of people and ( r ) is the number of chairs. Here, ( n = 10 ) and ( r = 5 ). Thus, the calculation is ( P(10, 5) = \frac{10!}{(10 - 5)!} = \frac{10!}{5!} = 10 \times 9 \times 8 \times 7 \times 6 = 30,240 ). Therefore, there are 30,240 different seating arrangements.

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2w ago

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