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Question Number 77506 by BK last updated on 07/Jan/20

Commented by BK last updated on 07/Jan/20

A)2011           B)2012           C)4021         D)4023

$$\left.\mathrm{A}\left.\right)\left.\mathrm{2}\left.\mathrm{011}\:\:\:\:\:\:\:\:\:\:\:\mathrm{B}\right)\mathrm{2012}\:\:\:\:\:\:\:\:\:\:\:\mathrm{C}\right)\mathrm{4021}\:\:\:\:\:\:\:\:\:\mathrm{D}\right)\mathrm{4023} \\ $$

Commented by MJS last updated on 07/Jan/20

why not ask for more?  let 0≤u, v, w, x, y, z<2020^(2020)   how many integers are there when  uxy+vyz+wzy=0(mod 2020^(2020) ) and  uvx+vwy+wuz=0(mod 2020^(2020) ) are  satisfied?

$$\mathrm{why}\:\mathrm{not}\:\mathrm{ask}\:\mathrm{for}\:\mathrm{more}? \\ $$$$\mathrm{let}\:\mathrm{0}\leqslant{u},\:{v},\:{w},\:{x},\:{y},\:{z}<\mathrm{2020}^{\mathrm{2020}} \\ $$$$\mathrm{how}\:\mathrm{many}\:\mathrm{integers}\:\mathrm{are}\:\mathrm{there}\:\mathrm{when} \\ $$$${uxy}+{vyz}+{wzy}=\mathrm{0}\left(\mathrm{mod}\:\mathrm{2020}^{\mathrm{2020}} \right)\:\mathrm{and} \\ $$$${uvx}+{vwy}+{wuz}=\mathrm{0}\left(\mathrm{mod}\:\mathrm{2020}^{\mathrm{2020}} \right)\:\mathrm{are} \\ $$$$\mathrm{satisfied}? \\ $$

Answered by mr W last updated on 07/Jan/20

check the question please!    if 0≤x,y,z≤2011, then  Answer C) 4021    if 0≤x,y,z<2011, then  Answer 4020

$${check}\:{the}\:{question}\:{please}! \\ $$$$ \\ $$$${if}\:\mathrm{0}\leqslant{x},{y},{z}\leqslant\mathrm{2011},\:{then} \\ $$$$\left.{Answer}\:{C}\right)\:\mathrm{4021} \\ $$$$ \\ $$$${if}\:\mathrm{0}\leqslant{x},{y},{z}<\mathrm{2011},\:{then} \\ $$$${Answer}\:\mathrm{4020} \\ $$

Commented by BK last updated on 07/Jan/20

step by step solution sir plss

$$\mathrm{step}\:\mathrm{by}\:\mathrm{step}\:\mathrm{solution}\:\mathrm{sir}\:\mathrm{plss} \\ $$

Commented by mr W last updated on 07/Jan/20

i calculated “one by one”.

$${i}\:{calculated}\:``{one}\:{by}\:{one}''. \\ $$

Commented by mr W last updated on 07/Jan/20

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