Answer to Question #315528 in Statistics and Probability for Kenceasefire

Question

12 students are to pose for photographs after a social gathering at FCT. 4 students are from Lagos state, 3 are from Kano state and the remaining are from Kwara state. How many possible photographs can they take if students from the same state must stand close to one another?

Answer 1

$3!=6$ ways to choose order of states.

Order in each group of students from same state =$4!*3!*5!=17280$

Thus total possible ways is $17280*6=103680$