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15740 n 83rd ave 1127 peoria 85382 - RTA

📅 May 10, 2026 👤 scraface

May 10, 2026

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📌 Number of arrangements where A and B are adjacent:

📌 Treat A and B as a single block. Then we have 5 blocks to arrange: (AB), and the other 4 experiments.

📌 Subtract to get valid (non-adjacent) arrangements:

📌 Choose 2 non-consecutive positions out of 6 for A and B.

📌 Number of ways to choose 2 non-consecutive positions from 6:

📌 On a line of 6, the number of ways to choose 2 non-consecutive positions is:

📌 Then assign A and B to these positions in 2 ways, and arrange the remaining 4 experiments in the other 4 positions:

📌 An ice cream shop offers 8 unique flavors and allows customers to choose 3 scoops (with repetition allowed) to form a sundae. How many distinct sundaes can be made if the order of scoops does not matter and repeats are allowed?

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