9999! 0! + 1! + 2! + 3! + 4! + . . . + 9998! + 9999!   Determine the ones digits for the following expression:   0! + 1! + 2! + 3! + 4! + . . . + 9998! + 9999!
January 23, 2006
Past Problems
	E-mail Solutions to: pow@umassd.edu
	Correct Solutions
	Francois Bonjean. Liege, Belgium Frank McGartland. Saskatoon, SK., Canada Radu Casian Ionescu. Montreal, Quebec, Canada Sahana Vasudevan. Vargas Elementary  School, Sunnyvale, CA Bob Mitchell. Normal, IL Genoa Warner. Dartmouth High School, Dartmouth, MA Pamela Chretien. Hastings Middle School, Fairhaven, MA Jerome Cherry. Mundare, Alberta, Canada Tom Wilcox. H.C. Technical High School, Meriden, CT Charles Keebaugh. Colorado Springs, CO Thomas Robertson.  Riverside, RI Wes Selken. Colorado Techincal University, Colorado Springs, CO Jon Eisenberg. Dartmouth High School, Dartmouth, MA Aristides Kyriakakis.  Thessaloniki. Greece Eugene Roytman. New York, NY Allamanis Miltiadis. Anatolia High School, Thessaloniki, Greece Rin Sone. South Pasadena Middle School, CA Brian Hetrick. UNH, Durham, NH Ms Rothermel. Rye Junior High, Rye, NH David Shi. JLS Middle School, Palo Alto, CA Michael Fang. Osceola Middle school, Ocala FL Max Schaeffer. Wauwatosa, WI Jerrold Greenberg. New York, NY Tiffany Chen. South Pasadena Middle School, South Pasadena, CA Phillip Ai. Hammarskjold Middle School, East Brunswick, NJ Jennifer Sailor. Osceola Middle School, Ocala, FL Andrew Sailor. Osceola Middle School, Ocala, FL Hamilton Hardison. University of Georgia, Athens, GA Michelle Lam. South Pasadena Middle School, South Pasadena, CA John Song. White Station High School, Memphis, TN Alexander McAvoy. Southampton, MA Can Oztoprak. Istanbul, Turkey Emil Lalov. Mathematical High School, Pleven, Bulgaria Irene Perantoni. Athens College Middle School, Psychico, Athens, Greece Roland Vyncke. Brugge, Belgium Bar Greengrass. Israel Harry Siebert. Infineon, Munich, Germany Timothy Yales. Westland, MI Jeremy DeMoranville. Hastings Middle School, Fairhaven, MA Garrett Messier. Hastings Middle School, Fairhaven, MA Chris Hanes. University of Florida, Ocala, FL Stephen Farver. Katy, TX Varun Ravishanker. Haddam-Killingworth Middle School, Higganum, CT Sarah Chen. Marie Curie Middle School, New York, NY David Madfes. San Francisco, CA Tet Pham. University of Central Florida, FL Peter Moynahan. Rye Junior High, Rye, NH Grant Salzano. Haddam-Killingworth High School, Higganum, CT Congyue Sukthose. Jane Moogra Middle, Palo Alto, CA Sagar Patel. Brookstone School, Columbus, GA Nikki Tan. Southridge, Surrey, BC, Canada Amanda Tu. Southridge School, Surrey, BC Marius Damian. Braila, Romania Alan Leung. Mississippi School for Mathematics & Science, Columbus, MS Cong Tian. Sachem North High School, Long Island, NY Rohit Bollineni. Power Middle School, Farmington Hills, MI Sahit Bollineni. Highmeadow Common Campus, Farmington Hills, MI Eileen Zhu. Kearny, NJ Jon Satko. Porterville, CA Jesse Miller. Daniel Webster High School, Tulsa, OK Ross Pacheco. Hastings Middle School, Fairhaven, MA Praveen Nandamuru. Brookstone School, Columbus, GA Russell Beaty. Brookstone School, Columbus, GA Carter Galbraith. Brookstone High School, Columbus GA Aaron Rose. Hastings Middle School, Fairhaven MA Kurt Rosales. University of Central Florida, Orlando, FL Brianna Loo, South Pasadena Middle School, South Pasadena CA Gavin Tse.  South Pasadena Middle School, South Pasadena, CA Aashrita Mangu. South Pasadena Middle School, South Pasadena, CA Leong HoongHan. Bukit Mertajam, Penang, Malaysia Jane Park. South Pasadena Middle School, South Pasadena, CA George Hatzi. Southridge School, Surrey B.C. Tim Poe. Austin, TX Patrick McHenry. Beck Middle School, Cherry Hill, NJ Joe Brophy. Boston, MA Tommy Craig. Chaparral High School, Parker, CO Bridget Hanafin. Clever Middle School, Clever MO Mike Osterfoss, Moore, SC Justin Fernicola. Brookstone School, Columbus, GA Brittany Cole. Dartmouth High School, Dartmouth MA Mark  Pitts. Berkeley Springs, WV Minray Yang. Carwise Middle School, Palm Harbor, FL Jessica Dean. Timothy Edwards Middle School, South Windsor, CT Adam Shoemaker. Hardison High School, Social Circle, GA Timothy DesRoches. Hastings Middle School, Fairhaven,  MA Wenlin Fan. Mountain Top, PA Leandra Morgan. White Station High School, Memphis, TN Mary Wickham. Brookstone School, Columbus, GA Christopher Souza. Dartmouth High School, Dartmouth, MA Ryan Young. Brookstone High School, Columbus, GA Anthony Pabillano. Flour Bluff High School, Corpus Christi, TX Daniel Pyon. South Pasadena Middle School, South Pasadena, CA James Kawakami. South Pasadena Middle School, South Pasadena, CA Kunal Singh. Kendriya Vidyalaya Happy Valley, Shillong, India Becky Britton. St. Luke Middle School, Columbus, GA Mark Spanier. Sauk Centre HS, Sauk Centre, MN Kyle Moon. Forsyth Country Day School, NC Clay Myers. Ormond Beach Middle School, Ormond Beach, FL Catherine Tegeler. Forsyth Country Day School, Lewisville, NC Christopher Sinkule. St. Luke School, Columbus, GA Katherine Wang. South Pasadena Middle School, South Pasadena, CA Ryan Elmer. Creekwood Middle School, Kingwood, TX Dmitry Vagner. Ranney High School Erica Kassman. Forsyth Country Day School Alexander Taciuk. Southridge, Surrey, BC, Canada Michael Belmonte. Carusi,Cherry Hill, NJ
	39% of respondents successfully answered this problem.

 

 Last Updated On: 1/30/06