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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
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In how many ways can 5 ladies and 5 gentlemen be seated in a row so that no two ladies sit together
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