It seems like there might be a typo in your question. If you are referring to "permutation," it is a mathematical concept that determines the number of ways objects can be arranged in a specific order. Each arrangement is considered a different permutation.
Respiration and fermentation are similar in that both processes are ways for cells to generate energy from glucose. They both begin with glycolysis, which breaks down glucose into pyruvate, producing a small amount of ATP. While respiration requires oxygen and leads to the complete oxidation of glucose, fermentation occurs in the absence of oxygen and results in the partial breakdown of glucose, yielding byproducts like lactic acid or ethanol. Despite their differences in efficiency and end products, both processes ultimately serve to supply energy to cells.
Respiration and fermentation are both metabolic processes that cells use to generate energy from glucose. Both processes involve the breakdown of glucose to produce ATP, the energy currency of the cell. However, respiration requires oxygen (aerobic) and produces more ATP, while fermentation occurs in the absence of oxygen (anaerobic) and yields less ATP along with byproducts like lactic acid or ethanol. Ultimately, both processes enable organisms to convert energy stored in food into a usable form.