Well, lets look at my favorit example: The Middle East. The arabs were and are superior in noumbers, but Israel has a much better trained and armed force. Maybe a force of 100000 untrained man can puch back a force of 5000 trained man, but the casualties would be high, and after that battle is over, the large force would be tired and disorgenaized. Look at 1973. The Egyptian Army crossed the Suez Canal with amazing noumbers, but took high casualties from the small regular IDF units. A few days later, the Egyptian force met the IDF reserves with much less force at its dispanse. The trained and highly experienced reserves pushed the Egyptians back across the canal, cut-off 2 egyptian Armies, and were ready o charge deep into Egypt and take Cairo if needed.
Also in the same war, but a diffrent front, the 77th Regiment of the 7th Armored brigade held on against the entire Syrian northern effort, fighting forces 15 times its own size. The 77th held on untill the Syrians gave up. Many of the Regiments man were killed and wounded, but half of the Syrian army was stopped at its tracks, and the Syrians lost thousends of men and houndreds of Tanks and AFVs.
SO, as I see it quality is superior to quantity.