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Three letters are selected from the 9 letters of the word CAMERAMAN.
从 CAMERAMAN 一词的 9 个字母中选择三个字母。

(iv)Find the number of different selections if the three letters include exactly one M M MM and exactly one A .
(iv)如果三个字母恰好 M M MM 包含一个 A ,则找到不同选择的数量。

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(v)Find the number of different selections if the three letters include at least one M.
(v)如果三个字母至少包含一个 M,请查找不同选择的数量。

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5 In a group of students,the numbers of boys and girls studying Art,Music and Drama are given in the following table.Each of these 160 students is studying exactly one of these subjects.
5 在一组学生中,学习艺术、音乐和戏剧的男生和女生人数如下表所示。这 160 名学生中的每一位都在学习其中一门科目。
Art  艺术 Music  音乐 Drama  戏剧
Boys  男孩 24 40 32
Girls  女孩 15 12 37
Art Music Drama Boys 24 40 32 Girls 15 12 37| | Art | Music | Drama | | :--- | :---: | :---: | :---: | | Boys | 24 | 40 | 32 | | Girls | 15 | 12 | 37 |
(i)Find the probability that a randomly chosen student is studying Music.
(i)求随机选择的学生学习音乐的概率。

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(ii)Determine whether the events'a randomly chosen student is a boy'and'a randomly chosen student is studying Music'are independent,justifying your answer.
(ii)确定“随机选择的学生是男孩”和“随机选择的学生正在学习音乐”这两个事件是否独立,证明您的答案是合理的。

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(iii)Find the probability that a randomly chosen student is not studying Drama,given that the student is a girl.
(iii)求随机选择的学生不学习戏剧的概率,假设该学生是女生。

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