None of them are correct. It should be "노는 방법", which means 'how to play'

놀다 is a ㄹ irregular verb. There are four kinds of determiner ending forms(관형사형어미) for a verb * present -는 저기 가는 자동차 * past (으)ㄴ 어제 먹은 빵 * incomplete past -던 어제 먹던 빵 * future -(으)ㄹ 내일 먹을 밥 present : 놀다 + 는 => 노는 past : 놀다 + (으)ㄴ => 논 future : 녹슬다 + -(으)ㄹ=> 놀 incomplete past: 놀다+던=>놀던 cf There are three kinds of determiner ending forms for an adjective. * present -(으)ㄴ 예쁜 꽃 * past -던 예뻤던 꽃 * future -(으)ㄹ 예쁠 꽃