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Home » So, \( t = 1 \) or \( t = 3 \) seconds. - Red Crowns

So, \( t = 1 \) or \( t = 3 \) seconds. - Red Crowns

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 To solve this problem, we consider the constraints and use combinations to count the number of valid committees.

📌 Include the two specific individuals:

📌 Since two specific individuals must be included in the committee, we have already selected 2 out of the 4 members.

📌 Choose the remaining 2 members from the other 8 people:

📌 After including the 2 required members, we need to choose 2 more members from the remaining 8 people:

📌 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.

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