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Question
Each section in the first year of plus 2 courses has exactly 40 students. If there are 5 sections, in how many ways can a set of 4 student representatives be selected, 1 from each section?
Each section in the first year of plus 2 courses has exactly 40 students. If there are 5 sections, in how many ways can a set of 4 student representatives be selected, 1 from each section?
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Solution
The correct option is A 2560000
1 student representative can be selected from section I in 40 ways.
1 student representative can be selected from section II in 40 ways.
1 student representative can be selected from section III in 40 ways.
1 student representative can be selected from section IV in 40 ways.
Hence, the number of ways in which a set of 4 student representatives can be selected =40×40×40×40=2560000.
1 student representative can be selected from section I in 40 ways.
1 student representative can be selected from section II in 40 ways.
1 student representative can be selected from section III in 40 ways.
1 student representative can be selected from section IV in 40 ways.
Hence, the number of ways in which a set of 4 student representatives can be selected =40×40×40×40=2560000.
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