Mystery of balls........

\(3\) identical \(\textbf{black}\) balls, \(4\) identical \(\color{Red}{\textbf{red}}\) balls and \(5\) identical \(\color{Blue}{\textbf{blue}}\) 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.

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