Find the number of ways in which 5 boys and 5 girls may be seated in a row so that no two girls and no two boys are together.

Find the number of ways in which 5 boys and 5 girls may be seated in a

1.	Find the number of ways in which 5 boys and 5 girls may be seated in a row so that no two girls and no two boys are together.
Answer» The number of ways in which 5 boys and 5 girls may be seated in a row so that no two girls and no two boys are together is 10! - 5!× 6!. Permutations and Combinations are very important concepts in mathematics that deals with arrangements and selections of various kinds of objects. This field of mathematics has many applications in other fields as well, which include science and engineering, and also has daily life applications. Let's solve a problem to make the concept more clear.