Free
30 Questions 30 Marks 30 Mins
Given:
Number of men = 5
Number of ladies = 4
Concept Used:
The total number of ways to arrange n person = (n - 1)!
The number of all combinations of n things, taken r at a time = nCr
Calculation:
According to the question, we have
The total number of ways to arrange 5 men = (5 - 1)!
⇒ 4!
⇒ 4 × 3 × 2 × 1
⇒ 24
The arrangements of 4 ladies = 5C4 × 4!
⇒ 5 × 4!
⇒ 5 × 4 × 3 × 2 × 1
⇒ 120
Now,
The total number of ways to arrangements = 24 × 120
⇒ 2880
∴ The total number of ways to arrange 5 men and 4 ladies if no two ladies sit together is 2880.
India’s #1 Learning Platform
Start Complete Exam Preparation
Daily Live MasterClasses
Practice Question Bank
Mock Tests & Quizzes
Get Started for Free Download App
Trusted by 3.3 Crore+ Students