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Category: Set Theory

n-2-n-109-x-2-x-integer-positive-integer-solutions-n-

Question Number 168480 by amin96 last updated on 11/Apr/22 $$\boldsymbol{\mathrm{n}}^{\mathrm{2}} +\boldsymbol{\mathrm{n}}+\mathrm{109}=\boldsymbol{\mathrm{x}}^{\mathrm{2}} \\ $$$$\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{integer}} \\ $$$$\boldsymbol{\mathrm{positive}}\:\boldsymbol{\mathrm{integer}}\:\boldsymbol{\mathrm{solutions}}\:\boldsymbol{\mathrm{n}}=? \\ $$ Commented by Rasheed.Sindhi last updated on 11/Apr/22 $$\mathrm{n}=\mathrm{3},\mathrm{20},\mathrm{35},……

for-A-1-2-3-4-5-6-7-compute-the-number-of-a-Subsets-of-A-b-Nonempty-subsets-of-A-c-proper-subsets-of-A-d-Non-empty-proper-subset-of-A-e-Subsets-of-A-containing-three-element-f-Subs

Question Number 102357 by Cynosure last updated on 08/Jul/20 $${for}\:{A}=\left\{\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6},\mathrm{7}\right\},{compute}\:{the}\:{number}\:{of}: \\ $$$$\left({a}\right)\:{Subsets}\:{of}\:{A}. \\ $$$$\left({b}\right)\:{Nonempty}\:{subsets}\:{of}\:{A}. \\ $$$$\left({c}\right)\:{proper}\:{subsets}\:{of}\:{A}. \\ $$$$\left({d}\right)\:{Non}\:{empty}\:{proper}\:{subset}\:{of}\:{A}. \\ $$$$\left({e}\right)\:{Subsets}\:{of}\:{A}\:{containing}\:{three}\:{element}. \\ $$$$\left({f}\right)\:{Subsets}\:{of}\:{A}\:{containing}\:\mathrm{1},\mathrm{2}. \\ $$$$\left({g}\right)\:{Proper}\:{subsets}\:{of}\:{A}\:{containing}\:\mathrm{1},\mathrm{2}. \\…

if-x-a-integer-number-when-divided-8-has-remainder-5-and-divided-5-has-remainder-2-find-x-

Question Number 101891 by bobhans last updated on 05/Jul/20 $${if}\:{x}\:{a}\:{integer}\:{number}\:,\:{when}\:{divided}\:\mathrm{8} \\ $$$${has}\:{remainder}\:\mathrm{5}\:{and}\:{divided}\:\mathrm{5}\:{has}\:{remainder} \\ $$$$\mathrm{2}.\:{find}\:{x} \\ $$ Answered by Rasheed.Sindhi last updated on 05/Jul/20 $$\mathrm{8}−\mathrm{5}=\mathrm{5}−\mathrm{2}=\mathrm{3} \\…

Question-36061

Question Number 36061 by Raj Singh last updated on 28/May/18 Commented by Rasheed.Sindhi last updated on 28/May/18 $$\mathcal{N}{ot}\:{related}\:{to}\:{the}\:{above}\:{question}. \\ $$$$\mathcal{D}\mathrm{ear}\:\mathrm{Abu}\:\mathrm{behi}, \\ $$$$\mathcal{I}\:'\mathrm{ve}\:\mathrm{discovered}\:\mathrm{relation}\:\mathrm{between}\:\mathrm{your} \\ $$$$\mathrm{questions}\:#\mathrm{35844}\:\&\:#\mathrm{35892}. \\…

Question-35703

Question Number 35703 by scientist last updated on 22/May/18 Answered by arcana last updated on 17/Oct/18 $$\mathrm{tomando}\:\mathrm{la}\:\mathrm{propiedad}\:\mathrm{de}\:\mathrm{funcion}\:\mathrm{de}\:\mathrm{medida}\:{n} \\ $$$$\mathrm{A},\mathrm{B}\:\mathrm{conjuntos}\:\mathrm{finitos} \\ $$$${n}\left(\mathrm{A}\cup\mathrm{B}\right)={n}\left(\mathrm{A}\right)+{n}\left(\mathrm{B}\right)−{n}\left(\mathrm{A}\cap\mathrm{B}\right) \\ $$$$\mathrm{asi} \\ $$$$\bullet\:{n}\left(\left(\mathrm{A}\cup\mathrm{B}\right)\cup\left(\mathrm{C}\cup\mathrm{D}\right)\right)={n}\left(\mathrm{A}\cup\mathrm{B}\right)+{n}\left(\mathrm{C}\cup\mathrm{D}\right)−{n}\left(\left(\mathrm{A}\cup\mathrm{B}\right)\cap\left(\mathrm{C}\cup\mathrm{D}\right)\right)…