Incorrect. Our third term in the sum was a little bit off, otherwise we would have obtained the correct answer.
Incorrect. Our numerator included the 6 combinations with the two disliked flavors, times the three possible toppings. However, we did not add three for the remaining three flavors if topped with chocolate chips. Our denominator was correct.
We inadvertently converted half a foot (0.5 ft) to 5 inches instead of 6 inches, which would have given us the correct answer.
From the last day of school, we overcounted the number of days remaining in June by one. We also carried over our incorrect answer from part two. Otherwise, we would have calculated the correct answer.
Incorrect. I misinterpreted the problem as the number of different sequences of the last 5 fireworks out of the 15 available. Rather, those five were already determined. Therefore, instead of the number of permutations of 15 items arranged 5 at a time, the problem asks for the number of ways to arrange the remaining 10 fireworks.
Approximately correct. Overlooking the last sentence, which asks for the answer to be rounded to the nearest tenth, I instead rounded up to the nearest whole number.