The number of combinations of random samples of 5 students can be 792.
Given, 12 groups of students
We have to select random samples of 5 students,
Here we will use the combination formula,
Cₙ,ₓ = n! / x! (n - x)!
Here n=12 and x=5
Cₙ,ₓ = 12! / 5! (7!)
Cₙ,ₓ = 479,001,600 / (120) × (5040)
Cₙ,ₓ = 792
Therefore the possible ways of selecting the random samples of 5 students are 792.
To learn more about permutations and combinations
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