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Multinomial Expansion

Find positive...

Question

Find positive integral solutions :
$w + x + y + z = 15$

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Solution

$x = 3 y = 5 z = 7$

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Q. Find the number of positive unequal integral solution of the equation

x + y + z + w = 20

Q. For the equation

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the number of positive integral solutions is equal to:

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Q. The number of positive integral solutions of the equation

x + y + z + ω = 15

x > 1, y > 2, z > 3

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then the number of positive integral solutions is

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