There are n seats round a table numbered `1,2, 3,..., n`. The number of ways in which `m(<=n)` persons can take seats is

There are n seats round a table marked 1,2,3,…..n the number of ways in which m(len) persons can take seats is

There are n numbered seats around a round table. Total number of ways in which n_(1)(n_(1) lt n) persons can sit around the round table, is equal to

There are n numbered seats around a round table. Total number of ways in which n_(1)(n_(1) lt n) persons can sit around the round table, is equal to

There are n numbered seats around a round table. Total number of ways in which n_(1)(n_(1) lt n) persons can sit around the round table, is equal to

There are n numbered seats around a round table. Total number of ways in which n_(1)(n_(1) lt n) persons can sit around the round table, is equal to

There are n numbered seats around a round table. Total number of ways in which n_(1)(n_(1) lt n) persons can sit around the round table, is equal to

There are n+ 3(n > 1) seats numbered 1, 2, 3, , n + 3. There are also n+ 3 persons who are holding tickets numbered 1, 2, 3, . . . , n + 3. They take seats at random. Find the probability that exactly three persons take seats having the same numbers as that in their tickets.

A man invites a party to (m+n) friends to dinner and places m at one round table and n at another. The number of ways of arranging the guests is

A man invites a party to (m+n) friends to dinner and places m at one round table and n at another. The number of ways of arranging the guests is