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Home » How Many Cups Make a Pound? Governed by Science — Find Out Exactly! - AMAZONAWS

How Many Cups Make a Pound? Governed by Science — Find Out Exactly! - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 9! = 362880

📌 Now, within the vowel block, we arrange the 5 vowels: I, I, I, O, A.

📌 Number of distinct permutations:

📌 \frac{5!}{3!} = \frac{120}{6} = 20

📌 Total number of distinct words:

📌 9! \times \frac{5!}{3!} = 362880 \times 20 = 7257600

📌 Thus, the total number of distinct words is $\boxed{7257600}$

📌 Question: Five integers are selected uniformly at random from the set $\{0, 1, 2, \ldots, 50\}$. Let $ z $ be the sum of the two largest selected integers. What is the probability that $ z \geq 100 $?

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