For this vote and all subsequent votes of the entire Caucus, the Chair may conduct a voice vote or show of hands vote.
But the real crux of the story is that Trump won the vote, and then a secret ballot was requested and seconded and the chairperson approved where Cruz then won the secret ballot. I must add that a call to combine was put forth, seconded and the chairperson refused it. How convenient.
Not necessarily - it did not say "may only" choose one of those options.