The number of ways to n people on circular table is (n-1)!
So, first we fix position of men, the number of ways to sit men = 5!
Now, women can sit in the gaps between men, there are 6 gaps between 5 mens,
So, women can sit in \(^6P_5\) ways
Hence, total number of ways = 5! x \(^6P_5\) = 5! x 6!
At an election, a voter may vote for any number of candidates not greater than the number of candidates to be elected. There are 10 candidates and 4 are to be elected. If a voter votes for atleast 1 candidate, then the number of ways in which he can vote is