each section of class in a college has exactly 40 students . if there are 4 students, in how many ways can a set of 4 student representative be selected, one from each section?
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Step-by-step explanation:
We can choose 1 student from 40 students in ⁴°C₁ ways.
So a set of 4 students can be chosen in = ⁴°C₁×⁴°C₁×⁴°C₁×⁴°C₁ ways
⁴°C₁ = 40!/(1!×39!) = 40
So total number of ways = 40×40×40×40 = 2560000
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