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📰 ---Question: A cybersecurity consultant needs to assign 5 distinct encryption keys to 3 different servers, ensuring each server gets at least one key. How many ways can this be done? 📰 Solution: The problem requires distributing 5 distinct keys to 3 distinct servers with each server receiving at least one key. This is a classic inclusion-exclusion problem. The total number of ways to assign the keys without restriction is $3^5$. Subtract the cases where at least one server gets no keys: $\binom{3}{1} \cdot 2^5$. Add back the cases where two servers get no keys (since they were subtracted twice): $\binom{3}{2} \cdot 1^5$. Thus, the total is: 📰 3^5 - \binom{3}{1} \cdot 2^5 + \binom{3}{2} \cdot 1^5 = 243 - 96 + 3 = 150. 📰 Discover The Secret Behind Ceralyou Wont Believe What Lies Beneath 7776989 📰 Brittany Fortinberry Uncovered The Secret Behind Her Rising Fame 5251002 📰 Your Excel File Needs Protection Heres How To Add A Password Instantly 3801193 📰 Transform Your Signature With Our Pro Creatorsecrets Inside 6438825 📰 Rob Amber 1638324 📰 Visual Pianos Script 5759693 📰 Discover The Filla Blast Technique Create A Measure In Power Bi Instantly 2689617 📰 Best Tv Picture Settings 4638999 📰 Windows Cannot Access The Specified Path Device Or File 1342016 📰 Cost Turbotax 3669231 📰 Area Below The Curve 457677 📰 Dogs Devour Raspberries Like Never Beforewhat Could Be Hidden In This Magical Berry 4062311 📰 Keuly 4737180 📰 Top Tip How To Land The Perfect Assistant Secretary For Planning Evaluation Today 2435465 📰 Squid Game Usa Release Date 8440095