Problema Solution
Six children stand in a line outside their classroom. When they enter the classroom, they sit in a circle in random order. There are relatively prime positive integers m and n so that m/n is the probability that no two children who stood next to each other in the line end up sitting next to each other in the circle. Find m+n.
Answer provided by our tutors
Six children stand in a line outside their classroom. When they enter the classroom, they sit in a circle in random order. There are relatively prime positive integers m and n so that m/n is the probability that no two children who stood next to each other in the line end up sitting next to each other in the circle. Find m+n.
Solution:
m/n = 3!*3!/6! = 36/720 = 1/20
So m=1, n=20
m+n = 21