There are 4 boys and 4 girls. Find number of ways to seat them in a row such that no 2 girls are sat together. Solve my inclusion exclusion principle

Question

There are 4 boys and 4 girls. Find number of ways to seat them in a row such that no 2 girls are sat together. Solve my inclusion exclusion principle
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

Sure, let's solve this step by step:

  1. First, let's consider the boys. There are 4 boys, so there are 4! (4 factorial) ways to arrange them. This is 432*1 = 24 ways.

  2. Now, consider the spaces between and on the sides of the boys. There are 5 such spaces ( B_B_B_B ). The girls can sit in the Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

There are 4 boys and 4 girls. Find number of ways to seat them in a row such that no 2 girls are sat together. Solve my inclusion exclusion principle

In how many ways 4 girls and 6 boys can be seated in a row so that no two girls are together?

In how many ways can 4 girls and 5 boys be arranged in a row so that all the four girls are together?Choices:- 16236 16543 13456 17280

In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?

Find the number of ways in which 5 boys and 5 girls can be seated in a row so that(a) No two girls may sit together

1/3