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Explanation:
To find how many <em>outcomes there would be for the sample space</em>, you need to use the fundamental principle of counting, which simply states that if there are m possible outcomes for one event and n possible outcomes for other event, then there are m × n outcomes for both joint events.
Thus, for the <em>research study</em> where t<em>here are five options for the first question, four options for the second question, and three options for the third question</em>, the sample space is constituted by<u> 5 × 4 × 3 = 60 </u><em>outcomes</em>.
For the<em> similar study</em>, <em>if there are only four options for the first question, the sample space would have</em> <u> 4 × 4 × 3 = 48 </u> <em>outcomes</em>.