Question Number 198319 by necx122 last updated on 17/Oct/23
$${An}\:{analysis}\:{of}\:\mathrm{100}\:{personal}\:{injury} \\ $$$${claims}\:{made}\:{upon}\:{a}\:{motor}\:{insurance} \\ $$$${company}\:{revealed}\:{that}\:{loss}\:{or}\:{injury} \\ $$$${in}\:{respect}\:{of}\:{an}\:{eye},\:{an}\:{arm}\:{or}\:{leg} \\ $$$${occurred}\:{in}\:\mathrm{30},\:\mathrm{50}\:{and}\:\mathrm{70}\:{cases},\:{respectively}. \\ $$$${Claims}\:{involving}\:{the}\:{loss}\:{or}\:{injury}\:{to} \\ $$$${two}\:{of}\:{these}\:{number}\:\mathrm{44}.\:{How}\:{many} \\ $$$${claims}\:{involved}\:{loss}\:{or}\:{injury}\:{to}\:{all} \\ $$$${three}.\:{Assume}\:{that}\:{one}\:{or}\:{other}\:{of} \\ $$$${the}\:{three}\:{members}\:{was}\:{mentioned}\:{in} \\ $$$${each}\:{of}\:{the}\:\mathrm{100}\:{claims}. \\ $$
Commented by necx122 last updated on 17/Oct/23
Please help with the Venn diagram and the solvings. I've tried but keep getting it all wrong.
Answered by AST last updated on 18/Oct/23
$$\mathrm{100}=\mathrm{30}+\mathrm{50}+\mathrm{70}−\mathrm{44}−\mathrm{3}{x}+{x}\Rightarrow{x}=\mathrm{3} \\ $$$$\mid{EnA}\mid+\mid{AnL}\mid+\mid{LnE}\mid=\mathrm{44}+\mathrm{3}{x} \\ $$