Find the number of integral solutions for
$| x | + | y | + | z | = 10.$

402

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304

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202

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502

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Solution

The correct option is A 402
If number of integral solutions $= 4 k^{2} + 2$

In this case $k = 10,$

No of solutions $= 4 \times 10^{2} + 2 = 402$

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