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Properties of Modulus

Number of int...

Question

Number of integral solutions of the equation $x + y + z = 3$ when $x \geq 1, y \geq 0$ and $z > 0$

3

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15

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28

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10

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Solution

The correct option is A $3$
$x + y + z = 3$

possible solutions are

$x y z$

$201$

$111$

$102$

$3$ solutions are there.

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Similar questions

x + y + z + t = 29

x \geq 1, y \geq 2, z \geq 3

t \geq 0

x + y + z + w = 29

x > 1, y > 2, z > 3

w \geq 0

x + y + z + ω = 15

x > 1, y > 2, z > 3

ω < 4

x + y + z + w = 29

x > 0, y > 1, z > 2

w > 0

x + y + z + t = 20,

x \geq 0, y \geq 1, z \geq 2, t \geq 3,

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