Question

Find the number of ways in 6 gentlemen and 4 ladies are to sit for a dinner at a round tsble so "thst" no two ladies are to sit together

Answer 1

Answer:

Since it's a round table, there are a total of 6 gaps for ladies to sit such that both gentlemen and ladies are sitting alternatively. Therefore:

Number of ways=$\frac{^6C_4\cdot 6!\cdot 4!}{10}$=25920

I guess this is right.

Hope it helps :)

Step-by-step explanation: