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Question

If the number of positive integral solutions of x_1 +x_2+x_3=n be denoted by P_n then
∣∣ ∣∣PnPn+1Pn+2Pn+1Pn+2Pn+3Pn+2Pn+3Pn+4∣∣ ∣∣=


A

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B

1

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C

- 1

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D

- 8

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Solution

The correct option is C

- 1


∣ ∣ ∣nC2n+1C2n+2C2n+1C2n+2C2n+3C2n+2C2n+3C2n+4C2∣ ∣ ∣=1


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