Reaction of ethanol and potassium permanganate

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The potassium permanganate reacts with $C_2H_6O$ (ethanol) and sulfuric acid to form ethanoic acid, potassium sulfate, manganese(II) sulfate and water. Find formulas not shown leaving aside the charges!

$KMnO_4$, $H_2SO_4$, $CH_3COOH$, $MnSO_4$, $K_2SO_4$, $H_2O$

Find the oxidation numbers (oxidation states OS) - of $Mn$ in $KMnO_4$ - of $Mn$ in $MnSO_4$ - of $C$ in $CH_3$$C$$H_2OH$ - of $C$ in $CH_3$$C$$OOH$ ?

- OS($Mn$ dans $KMnO_4) = +7$ - OS($Mn$ in $MnSO_4$)= +2 - OS($C$ in $CH_3$$C$$H_2OH$) = -1 - OS($C$ in $CH_3$$C$$OOH$) = +3

How many electrons are exchanged 1) from $KMnO_4$ to $MnSO_4$ 2) from $CH_3CH_2OH$ to $CH_3COOH$ ?

1) $+5\;e^-$ 2) $-4\;e^-$

Find the coefficients $x,y,z$ and $p$: $x\;KMnO_4$ $+$ $y\;CH_3CH_2OH$ $ +$ $... $ $\rightarrow $ $z\;MnSO_4$ $ + $ $p\;CH_3COOH$ $+...$

$4\;KMnO_4$ $+$ $5\;CH_3CH_2OH+$ $...$ $ \rightarrow$ $ 4\;MnSO_4$ $ +$ $ 5\;CH_3COOH$ $ + ...$