Resposta:

[tex]\textsf{Segue as respostas abaixo}[/tex]

Explicação passo-a-passo:

[tex]\sf\underbrace{\sf CAF\acute{E}}_{\sf P_4}=4![/tex]

[tex] \mathsf{P_4=4\cdot3\cdot2\cdot1 }[/tex]

[tex] \boxed{\boxed{\mathsf{ P_4=24}}}[/tex]

[tex]\sf\underbrace{\sf SALADAS}_{\sf P_7^{3,2}}=\dfrac{7!}{3!\cdot2!}[/tex]

[tex] \mathsf{ P_7^{3,2}=\dfrac{7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{3\cdot2\cdot1\cdot2\cdot1}}[/tex]

[tex] \mathsf{P_7^{3,2}=\dfrac{5040}{12} }[/tex]

[tex] \boxed{\boxed{\mathsf{ P_7^{3,2}=420}}}[/tex]

[tex]\sf\underbrace{\sf ARARA}_{\sf P_5^{3,2}}=\dfrac{5!}{3!\cdot2!}[/tex]

[tex] \mathsf{ P_5^{3,2}=\dfrac{5\cdot4\cdot3\cdot2\cdot1}{3\cdot2\cdot1\cdot2\cdot1}}[/tex]

[tex] \mathsf{P_5^{3,2}=\dfrac{120}{12} }[/tex]

[tex]\boxed{\boxed{ \mathsf{ P_5^{3,2}=10}}}[/tex]

[tex]\sf\underbrace{\sf CAMELO}_{\sf P_6}=6![/tex]

[tex] \mathsf{ P_6=6\cdot5\cdot4\cdot3\cdot2\cdot1}[/tex]

[tex] \boxed{\boxed{\mathsf{ P_6=720}}} [/tex]