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Using the Fundamental Counting Theorem, it is found that Aadya can build 1,693,440 cube towers.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
Considering that she has 10 cubes, and the bottom and top cubes cannot be green, the parameters are given by:
Hence the number of cubes is given by:
N = 7 x 6 x 8! = 1,693,440.
Aadya can build 1,693,440 cube towers.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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