Question Number 31919 by mondodotto@gmail.com last updated on 16/Mar/18
Commented by mondodotto@gmail.com last updated on 16/Mar/18
$$\boldsymbol{\mathrm{please}}\:\boldsymbol{\mathrm{help}}\:\boldsymbol{\mathrm{this}} \\ $$
Commented by Tinkutara last updated on 16/Mar/18
18 men or women take Mathematics in 3rd line?
Commented by mondodotto@gmail.com last updated on 16/Mar/18
$$\:\boldsymbol{\mathrm{both}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{them}}\:\boldsymbol{\mathrm{i}}\:\boldsymbol{\mathrm{think}} \\ $$
Answered by mrW2 last updated on 17/Mar/18
$$\mathrm{20}\:{men}: \\ $$$$\mathrm{4}\:{take}\:{only}\:{mathe},\:\mathrm{16}\:{take}\:{only}\:{chem},\:{none}\:{takes}\:{both} \\ $$$$\mathrm{20}\:{women}: \\ $$$$\mathrm{1}\:{takes}\:{only}\:{mathe},\:\mathrm{6}\:{take}\:{only}\:{chem},\:\mathrm{13}\:{take}\:{both} \\ $$$$ \\ $$$$\left({i}\right) \\ $$$$\mathrm{13}\:{women}\:{take}\:{both}\:{subjects} \\ $$$$\left({ii}\right) \\ $$$$\mathrm{4}\:{men}\:{take}\:{mathe} \\ $$
Commented by MJS last updated on 17/Mar/18
$${m}={men}\:{w}={women} \\ $$$$\mathrm{1}={only}\:{math}\:\mathrm{2}={both}\:\mathrm{3}={only}\:{chem} \\ $$$$\mathrm{1}.\:{m}\mathrm{1}+{m}\mathrm{2}+{m}\mathrm{3}=\mathrm{20} \\ $$$$\mathrm{2}.\:{w}\mathrm{1}+{w}\mathrm{2}+{w}\mathrm{3}=\mathrm{20} \\ $$$$\mathrm{3}.\:{m}\mathrm{1}=\mathrm{4} \\ $$$$\mathrm{4}.\:{w}\mathrm{3}=\mathrm{6} \\ $$$$\mathrm{5}.\:{m}\mathrm{1}+{m}\mathrm{2}+{w}\mathrm{1}+{w}\mathrm{2}=\mathrm{18} \\ $$$$\mathrm{6}.\:{m}\mathrm{2}+{w}\mathrm{2}=\mathrm{13} \\ $$$${easy}\:{to}\:{solve}\:{these} \\ $$
Commented by mondodotto@gmail.com last updated on 17/Mar/18
$$\boldsymbol{\mathrm{sir}}\:\boldsymbol{\mathrm{please}}\:\boldsymbol{\mathrm{draw}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{ven}}\:\boldsymbol{\mathrm{diagram}} \\ $$
Commented by mondodotto@gmail.com last updated on 17/Mar/18
$$\boldsymbol{\mathrm{sir}}\:\boldsymbol{\mathrm{can}}\:\boldsymbol{\mathrm{you}}\:\boldsymbol{\mathrm{please}}\:\boldsymbol{\mathrm{draw}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{venn}}\:\boldsymbol{\mathrm{diagram}}? \\ $$