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📰 Solution: The sum of squares formula gives $S = rac{15 imes 16 imes 31}{6} = 1240$. Compute $1240 \mod 13$: $13 imes 95 = 1235$, so $1240 - 1235 = 5$. The remainder is $oxed{5}$.Question: A science educator is designing a lesson on probability using a digital simulation that generates random 6-digit numbers using only the digits 1, 2, and 3. What is the probability that a randomly generated number has exactly two consecutive digits that are the same? 📰 Solution: To solve this, we must count the number of 6-digit numbers using only the digits 1, 2, and 3 such that exactly one pair of consecutive digits are equal, and all other adjacent digits are different. 📰 Let’s denote the digits of the number as $ d_1, d_2, d_3, d_4, d_5, d_6 $, where each $ d_i \in \{1, 2, 3\} $. 📰 Best Vr Headset 2025 📰 Sudden Change Setup Ssh In Windows And It Shocks Everyone 📰 Whats Hidden In Emr Files Experts Reveal Why This System Could Change Your Life Forever 9012159 📰 Uscis Good Moral Character Policy Change 9349710 📰 Are You Missing Out The Ultimate Mdr App Redemption Guide Is Here 4809478 📰 Unlock The Thundercracker Mindset Explosive Power For Modern Life 6583630 📰 Redshirt Meaning 7082543 📰 You Wont Believe Where Malta Really Isthe Hidden Gem Youve Been Searching For 6122791 📰 Lumi Styling 6563575 📰 Why Cricket Dominates Search Secrets Behind The Huge Traffic Surge 8034159 📰 Transform Your Words Into Blooms Explore The Amazing Garden Of Words Game 2671639 📰 Sleepless In Seattle Stream 7979972 📰 Current Micro Silver Contract 📰 Shock Moment How To Check Word Count On Word And The Problem Escalates 📰 You Wont Believe What These Album Covers Are Hiding 4720647