There are \(15\) players in a cricket team, out of which \(6\) are bowlers, \(7\) are batsman and \(2\) are wicketkeeper…

There are \(15\) players in a cricket team, out of which \(6\) are bowlers, \(7\) are batsman and \(2\) are wicketkeepers. The number of ways, a team of \(11\) players be selected from them so as to include at least \(4\) bowlers, \(5\) batsman and \(1\) wicketkeeper, is.