There are \( 15 \) players in a cricket team, out of which \( 6 \) are bowlers, \( 7 \) are batsmen 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, \( 5 \) batsmen and \( 1 \) wicketkeeper, is _______.
