Yeah sure, this comes up all the time.

會 - can (a skill that has been learned), it can also mean "will" and "would"

可以 - permission has been given by others. The best translation is "may" 

能 - The circumstances deem it possible. 很可能 it's very possivle that 能不能___ Is it possible to____

例句：我會中文 - I can speak Chinese - I have learned this skill as a foreigner

我會唱歌兒 - I can sing - I learned this skill

我會跳舞 - I can dance - I learned this skill

我會說普通話，可是不會說廣東話 - I can speak Mandarin, but I can't speak Cantonese

我不會玩麻將 - I can't play Mahjong

我不會下棋 - I can't play chess

我可以去厠所一下嗎？May I pop to the toilet?

我可不可以跟你練習我的中文？May I practise my Chinese with you?

大家現在可以進去了！You may all enter now!

你可以幫我忙嗎？Can you help me out?

我喜歡能去沙灘的機會，因爲在我們這邊兒能去沙灘的機會不多啊！ I like it when I can go to the beach because over here we don't exactly have many opportunities to go

你能喝九瓶酒嗎？ Can you drink 9 bottles of beer?

你能幫我忙嗎？Can you help me out?

你不能在這兒抽烟！You are not allowed to smoke in here

衹有成年人才能開車 - Only adults are allowed to drive