22) The sports club "I tropici" has organized a football tournament with 3 teams, each consisting of 15 players (including reserves) with jerseys numbered from 1 to 15. The night before the matches, it snowed, and to be able to play, it is necessary to clear the snow from the field. It is then decided to appoint a group of 3 snow shovelers by choosing one player from each team in such a way that there are no two players with the same jersey number. In how many different ways can the group of shovelers be formed?
(A) 48
(B) 455 ,
(C) 1125 ,
(D) 2730 ,
(E) 3375 .
22. The answer is $(\mathbf{D})$.

Suppose we have chosen any one of the fifteen players from the first team; in the second team, we have the possibility of choosing from fourteen players (all except the one with the same jersey number as the player chosen from the first team). Once the player from the second team is chosen, for choosing the player from the third team, we have thirteen possibilities. In total, we have $15 \times 14 \times 13=2730$ distinct possibilities.