If different words are formed with all the letters of the word 'AGAIN' and are arranged alphabetically among themselves as in a dictionary, the word at the 50th place will be

The number of ways in which a cricket team of 11 players be chosen out of a batch of 15 players so that the captain of the team is always included, is

A polygon has 44 diagonals. The number of its sides is

The number of ways in which 3 holiday tickets can be given to 20 employees of an organization, if each employee is eligible for any one or more of the tickets, is