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Suppose we are given for identical red flags, 2 identical blue flags, and 3 identical green flags. Find the number of (M) different signals that can be formed by hanging the nine flags in a vertical line.

M=?

PLEASE DO NOT SOLVE! PLEASE only tell how to do the question.

  • Math -

    9! ways if all different

    but the 4 red flags can be arranged in 4! ways, but they are identical.

    Similarly for the other colors, so the distinguishable arrangements are

    9!/(4!2!3!)

  • Math -

    thanks!

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