Amembrane that allows only some materials to move in and out of the cell is
permeable
semipermeable
rigid
bilayered

semipermeable

Cell membranes contain membrane proteins that  allows all the interaction that occurs within the cell. It makes the cell membrane selectively permeable because of its characteristics as being fluid or its fluidity which means to say that they can move freely within the lipid bilayer. The membrane proteins can also be stored in the lipid bilayer together with the enzymes. It cannot be denied that membrane proteins have a lot of functions based on its type. They can be integral proteins, peripheral proteins and lipid bound proteins. 

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Could you elaborate?