3645 points will Taylor earn when she completes Level 6.
What is a permutation?
Permutation is the arrangement of items in which order matters. In this situation order matters repetition allowed.
According to the question,
Taylor is playing a video game. She earns 15 points when she completes Level 1.
Each time she completes a level, she earns three times as many points as the previous level.
= 15 × [tex]3^{6-1}[/tex]
= 15 × [tex]3^{5}[/tex]
= 15 × 243
= 3645
Hence, 3645 points will Taylor earn when she completes Level 6.
Learn more about permutation here
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