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📰 Question: A science administrator must allocate 8 different research grants to 4 distinct laboratories, such that each laboratory receives at least one grant. How many valid allocations are possible? 📰 Solution: We are distributing 8 distinguishable grants to 4 distinguishable laboratories, with each lab receiving at least one grant. This is a problem of counting surjective (onto) functions from a set of 8 elements to a set of 4 elements. 📰 The number of surjective functions from a set of size $ n $ to a set of size $ k $ is given by: 📰 Benefits Of A Water Softener 9692058 📰 Heico Stock The Secret Investment Trend You Cant Ignore In 2024 1696512 📰 The Revolutionary Recipe Inside Glenfiddichs Most Addictive Whisky 7220510 📰 Can Tank Davis Take Down Jake Paul The Ultimate Showdown You Cant Miss 6611265 📰 James Hong Reveals His Most Powerful Performance Yetwatch These Must See Films Now 4542272 📰 The Truth Behind Tds Rising Stock Price Are You Missing Out 2506585 📰 This Shih Tzu Chihuahua Mix Looks Adorableand Smashes All Adoption Goals 7502310 📰 5Download Tiktok Clips In Secondsinstead Of Clicking Download Now 4822834 📰 This Simple Guide Lets You Reset Your Password Without Support 5198400 📰 Nba Games Today 1681260 📰 Download The Silverlight Extension Thats Taking Browser Performance By Storm 4017654 📰 Lords Mobile Pc Usitility 6016456 📰 Kind Girls 3081803 📰 Fred Clark 1554378 📰 Microsoft Waitthis Inside Look Will Change How You Use Their Tools Forever 3660139