[tex]\boxed{\begin{array}{l}\sf A~palavra~BIMESTRAL~ possui~ 9~letras.\\\sf Quando~as~consoantes~ficarem~juntas\\\sf teremos~ 3~vogais~para~permutar.\\\sf portanto~temos~Permutac_{\!\!,}\tilde ao\\\sf de~quatro~elementos~pois~as~consoantes\\\sf juntas~contam~como~uma~\acute unica~letra.\end{array}}[/tex]
[tex]\boxed{\begin{array}{l}\sf Pelo~princ\acute ipio~fundamental~da~contagem~temos:\\\underbrace{\sf\boxed{\sf BLMRST}IEA}_{\sf P_4}\\\sf P_4=4!=4\cdot3\cdot2\cdot1=24\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~B}}}}\end{array}}[/tex]
