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# For a jambalaya cook-off, there will be x judges sitting in

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For a jambalaya cook-off, there will be x judges sitting in [#permalink]  12 Aug 2018, 03:14
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For a jambalaya cook-off, there will be x judges sitting in a single row of x chairs. If x is greater than 3 but no more than 6, which of the following could be the number of possible seating arrangements for the judges?

Indicate two such numbers.

A. 6

B. 25

C. 120

D. 500

E. 720
[Reveal] Spoiler: OA

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Re: For a jambalaya cook-off, there will be x judges sitting in [#permalink]  12 Aug 2018, 03:53
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Carcass wrote:
For a jambalaya cook-off, there will be x judges sitting in a single row of x chairs. If x is greater than 3 but no more than 6, which of the following could be the number of possible seating arrangements for the judges?

Indicate two such numbers.

A. 6

B. 25

C. 120

D. 500

E. 720

From the given information we have

$$3 < x ≤ 6$$

Now let us take x = 4

So 4 judges can be arranged in 4! ways = 24

5 judges can be arranged in 5! ways = 120

6 judges can be arranged in 6! ways = 720

Hence option C and Option E
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Re: For a jambalaya cook-off, there will be x judges sitting in   [#permalink] 12 Aug 2018, 03:53
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