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3 season stranger things - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 Solution: The total number of items is $4 + 3 + 2 = 9$, with repetitions. The number of distinct arrangements is given by:

📌 Lara has 5 apples, 4 bananas, and 3 oranges. If Lara eats one piece of fruit per day for a week, in how many different orders can Lara consume the fruit?

📌 To solve this problem, we need to determine the number of ways to arrange 5 apples (A), 4 bananas (B), and 3 oranges (O) in a sequence of 12 items (since Lara eats one piece of fruit per day for 7 days, but there are a total of 12 pieces of fruit).

📌 The total number of permutations of 12 items where 5 are identical (apples), 4 are identical (bananas), and 3 are identical (oranges) is given by:

📌 Substituting these into the formula gives:

📌 Emily rolls three fair 6-sided dice. What is the probability that exactly two of the dice show the same number?

📌 To solve this problem, we first calculate the total number of outcomes when rolling three 6-sided dice:

📌 Next, we determine the number of favorable outcomes where exactly two of the dice show the same number. We break this into cases based on which two dice show the same number.

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