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📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Thus, there are \(\boxed{28}\) ways to form the committee with the two specific individuals included.

📌 Question:** How many different arrangements are possible for the letters in the word "PROBABILITY" if the vowels must always be together?

📌 To solve this, we treat the vowels as a single unit and count the arrangements accordingly.

📌 Identify vowels and consonants:

📌 The word "PROBABILITY" has:

📌 Vowels: O, A, I, I (4 vowels, with I repeated)

📌 Consonants: P, R, B, B, L, T, Y (7 consonants, with B repeated)

📌 Treat vowels as a single unit ("block"):

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