A school is holding a concert with 5 piano performances, 4 violin performances, and 3 vocal performances, totaling 12 different pieces. The school wants to arrange performances of the same type together, and vocal performances must come after either piano or violin performances. How many possible arrangements of pieces are there for this concert? (1) $5 ! \times 4 ! \times 3 !$ (2) $2 \times 5 ! \times 4 ! \times 3 !$ (3) $3 \times 5 ! \times 4 ! \times 3 !$ (4) $4 \times 5 ! \times 4 ! \times 3 !$ (5) $6 \times 5 ! \times 4 ! \times 3 !$
A school is holding a concert with 5 piano performances, 4 violin performances, and 3 vocal performances, totaling 12 different pieces. The school wants to arrange performances of the same type together, and vocal performances must come after either piano or violin performances. How many possible arrangements of pieces are there for this concert?\\
(1) $5 ! \times 4 ! \times 3 !$\\
(2) $2 \times 5 ! \times 4 ! \times 3 !$\\
(3) $3 \times 5 ! \times 4 ! \times 3 !$\\
(4) $4 \times 5 ! \times 4 ! \times 3 !$\\
(5) $6 \times 5 ! \times 4 ! \times 3 !$