Churchill's inability to understand that total troop numbers does not equal combat power played a large role in his losing faith with many of his generals during WW2. They constantly had to remind him that just because a general has 200,000 soldiers under his command, it doesn't mean that he has 200,000 soldiers that are combat capable. Most of those 200,000 soldiers are rear echelon support troops, such as cooks, MPs, drivers, clerks, etc., with a sizeable portion also unavailable due to being sick, injured, or in prison. This blind spot regarding the actual combat capabilities of the Imperial & Commonwealth armies (and later US ones) also played a major role in his demands for practical operations to be accelerated or impractical operations to be carried out. Or worse, for both to be done at the same time.