SOLUTION: find the permutation of number of ways in which 5 first year student and 5 second year student can be seated on a bench in a examination hall so that no two students of the same cl

Algebra.Com
Question 994009: find the permutation of number of ways in which 5 first year student and 5 second year student can be seated on a bench in a examination hall so that no two students of the same class are next to each other ?
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
You will have to sit them alternating one student from each class.
The first choice is:
should the student sitting to the left of all other students be a first year student or second year student?
You have choices.
For each of those choices, you have more choices that are independent of each other.
You have to decide:
in what order to sit the first year students, and
in what order to sit the second year students.
There are possible orders to sit the first year students.
There are possible orders to sit the first year students.
All in all, there are ways in which 5 first year student and 5 second year student can be seated on a bench in a examination hall so that no two students of the same class are next to each other.

RELATED QUESTIONS

if 5 people want to be seated, in how many ways can 4 of them be seated on a bench that... (answered by dfrazzetto)
in how many different ways can 5 persons be seated on a... (answered by addingup)
how many different ways can 5 people be seated on a bench if 2 of the people must sit... (answered by Edwin McCravy)
If 3 students sit on each bench then one student will be left. IF 4 students sit on... (answered by josmiceli)
how many ways can 5 students be seated on a bench for... (answered by stanbon)
Consider a bench on which six student can sit .In how many ways can 3 girls and 3 boys... (answered by josmiceli)
a. Suppose we have a group of 8 students sitting on a long bench. Four of the eight... (answered by stanbon,edjones)
On a test, a student must answer any 7 of the first 10 questions and any 5 of the second... (answered by stanbon)
1) In how many ways can 5 seats on a bench be assigned from amongst 12 people? 2)John... (answered by stanbon)