What kind of reaction is occurring between potassium permanganate and cyclohexene? (I.e. Combination, double displacement, etc.

Well, it is somewhat complicated, depending if it is under acidic, alkaline, or neutral reaaction. You can get some wild colors with this reaction.

The cyclohexene is oxidized, and what happens to the permanganate ion depends on the pH of the reaction.

In simple terms of I suspect the reaction types you are studying, I would go for oxidation if you have that term, and if you don't have that term, then combination reaction.

But the better term, is oxidation-reduction in acid pH, oxidation in another, and redox in another pH.

http://www.chemguide.co.uk/organicprops/alkenes/kmno4.html

The reaction between potassium permanganate and cyclohexene is an example of an addition reaction. Specifically, it is a type of addition reaction known as an oxidative addition.

To determine the type of reaction, we first need to understand the reaction mechanism. In this case, when potassium permanganate (KMnO4) reacts with cyclohexene, one of the double bonds in the cyclohexene molecule breaks, and two new bonds are formed. The potassium permanganate molecule adds across the double bond, resulting in the formation of a diol (1,2-dihydroxycyclohexane) and manganese dioxide (MnO2) as a byproduct.

The reaction can be written as follows:

C6H10 + KMnO4 → C6H12O2 (diol) + MnO2

We can identify this as an addition reaction because the reactants combine together by adding across the double bond in the cyclohexene. Additionally, it is an oxidative addition because the permanganate ion (MnO4-) is acting as an oxidizing agent, causing the double bond to break and form two new bonds.

Therefore, the reaction between potassium permanganate and cyclohexene is an addition reaction, specifically an oxidative addition.