Mystery of balls........

$3$ identical $\textbf{black}$ balls, $4$ identical $\color{#D61F06}{\textbf{red}}$ balls and $5$ identical $\color{#3D99F6}{\textbf{blue}}$ balls are to be arranged in a row. Find the number of ways that can be done if all the balls with the same colour do not form a single block.