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Home » \[ \textSA = 2(lw + lh + wh) \] - Baxtercollege

\[ \textSA = 2(lw + lh + wh) \] - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 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"):

📌 The vowels form a block, so we now arrange:

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