I would choose A actually. 'have' can use a gerund (makING) after it which, to me, sounds the most correct and makes the most sense. With 'permit' you can also use gerund (makING) after it. However is sounds overly formal and in my experience I have only seen it with infinitive verb (I won't permit those children to make noise). The other two 'let' and 'allow' - these can't use gerund (-ing) after so these can't be used in this sentence. However if you use the infinitive form (make/to make) then they are both fine: I won't let them make a noise/I won't allow them to make a noise. So, I would actually choose answer A. But as I'm sure you and everyone else are aware, the variations in the English language around the world will probably justify the use of the other answers in some way or form also. HtH - Rob.

我也是上网查的。。。实际上我也在补语法。。。共勉

謝謝妳的提醒... 老師以前教的文法了忘記了很多.... :(

A is the correct answer. 没有 let sb. doing或者allow sb. doing 的用法. let sb. do/ allow sb. to do/ permit sb.to do 是对的

On the second thought, C wouldn't work because it should be "let children MAKE".