For the following problems, explicitly mention the rule you are using and briefly explain how you deduce your answer. (a) There are 28 Math major in this class, and 30 CS major, in how many ways can we choose a committee of two students, one representing each major?

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For the following problems, explicitly mention the rule you are using and briefly
explain how you deduce your answer.
(a) There are 28 Math major in this class, and 30 CS mnajor, in how many ways can we choose
a committee of two students, one representing each major?
(b) A multiple choice test has 10 questions, with four choices and exactly one correct answer
for each question. In how many ways can a student answer the exam, if she is allowed to
leave answers blank?
Transcribed Image Text:For the following problems, explicitly mention the rule you are using and briefly explain how you deduce your answer. (a) There are 28 Math major in this class, and 30 CS mnajor, in how many ways can we choose a committee of two students, one representing each major? (b) A multiple choice test has 10 questions, with four choices and exactly one correct answer for each question. In how many ways can a student answer the exam, if she is allowed to leave answers blank?
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