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Mitzi Gaynor filmed this number to this track, but it was highly edited for the released film. Oscar Hammerstein was on location in Hawaii and thought the number wasn't working as well as it had on Broadway. Director Josh Logan told him that people had been washing their hair in films for years, so it didn't have the novelty effect it had on stage.
Here's the complete audio track with some footage from the trailer and a behind-the-scenes short added (thanks to HistoryofWidescreen and mikeystar5 for that).
Apparently these lyrics were never recorded:
You can't light a fire when the wood's all wet,
You can't make a butterfly strong,
You can't fix an egg when it ain't quite good,
And you can't fix a man when he's wrong,
You can't put back a petal when it falls from a flower,
Or sweeten up a fellow when he starts turnin' sour...
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