Question

In a school there are four sections having 40 students each. In how many ways can a set of 4student representative be chosen one from each section?

Answer 1

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

Answer 2

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

so the answer remains the same