123456 Factorial 0! + 1! + 2! + 3! + 4! + . . . + 123455! + 123456!   Determine the ones digits for the above expression
March 6, 2006
Past Problems
	E-mail Solutions to: pow@umassd.edu
	Correct Solutions
	Chris Hanes.  University of Florida Jerome Cherry. Mundare, Alberta, Canada Eugene Royt,am. New York, NY Michel Poulin.  College Jean-Eudes Montreal, Quebec, Canada Lisa Schechner. Schreiber HS, Port Washington, NY Mark Spanior. Sauk Centre HS, Sauk Centre, MN Wenlin Fan. Mountain Top, PA Mike Osterfoss. Moore, SC Radu Casian Ionescu. Montreal, Quebec, Canada. James Springer.  GK. Bridgewater, NJ Jerrold Greenberg.  New York, NY Soo-Yhun Lee. Sauk Centre HS, Sauk Centre, MN Nikki Tan.  Southridge School, BC, Canada Zhuxinyu Gu. 62th Middle School, Shanghai, China Amanda Tu.  Southridge School, BC, Canada Aristides Kyriakakis. Thessaloniki, Greece. Marius Damian. Braila, Romania. Jason Sirois. Wilcox Tech, Meriden, CT Bridget Hanafin.  Clever Middle School, Clever, MO Daniel Pyon.  South Pasadena Middle School, South Pasadena, CA Yee-Lum Mak.  South Pasadena Middle School, South Pasadena, CA Charles Keebaugh. Colorado Spings, CO Bob Mitchell.  Normal, IL Siraj Iqbal. Miami Killian Senior High, Miami, FL Phillip Ai.  Hammarskjold Middle School, East Brunswick, NJ Emil Lalov. Mathematical High School,Pleven, Bulgaria John Jones Jr. Belleville East High School, Belleville, IL Minray Yang. Carwise Middle School, Palm Harbor, FL Brittany Cole. Dartmouth High School, Dartmouth MA Nancy Huynh. Everett, MA Tiffany Chen. South Pasadena Middle School, South Pasadena, CA Michelle Lam. South Pasadena Middle School, South Pasadena, CA David Shi. JLS Middle School, Palo Alto, CA Dmitry Vagner. Ranney School, Tinton Falls NJ Sarah Chen. Marie Curie Middle School, New York, NY Don Miller. Portland, OR Kristy Chang. South Pasadena Middle School, South Pasadena, CA Kavish Gupta. St. Edmund's Academy, Pittsburgh, PA Pamela Chretien. Hastings Middle School, Fairhaven, MA Matthew Wong. South Pasadena Midle School, South Pasadena, CA Matthew Low, Southridge School, Surrey B.C. John Song. White Station HS, Memphis, TN Sagar Patel. Brookstone School, Columbus, GA Andy Drabic. Archbishop Hoban High School, Akron, OH Albert Zhou.  Scott Middle School, Lincoln, NE Kunal Singh. Kendriya Vidyalaya Happy Valley Shillong. India Hamilton Hardison.  University of Georgia.  Athens, GA Kurtis Osborne. Southridge School, Surrey, BC, Canada George Hatzikiriakos. Southridge School, Surrey,B.C., Canada Topher Conlan. University of Florida, Gainesville, FL Brianna Loo. South Pasadena Middle School, South Pasadena, CA Bar Greengrass. Israel Leong HoongHan. Bukit Mertajam, Penang, Malaysia Hendrik Salomons. Arapoti, Brazil Kevin Temew. Davao Christian High School, Davao City, Philippines Tim Poe. Austin TX Rohit Bollineni. Power Middle School, Farmington Hills, MI Sahit Bollineni. Highmeadow Common Campus, Farmington Hills, MI Penny Tuggle. CO Michael Vishevnik. Klaus Hansted. Sauk Centre HS, Sauk Centre, MN Chris Lupoli. Crane Country Day School, Santa Barbara, CA Bryce Bremner. Crane Country Day School, Santa Barbara, CA Nick Taylor. US Air Force Academy, Colorado Springs Garrett Messier. Hastings Middle School, Fairhaven, MA Jared Kulmatyski. R.F. Staples, Westlock, AB Jennilyn Derbidge. Utah County Academy of Sciences, Orem, UT Allison Turner. Dartmouth High School, Dartmouth, MA Stefan Dragomir-Ene. Southridge School Surrey B.C. Canada Jon Zazzaretti, Brown Elementary, Denver, CO Andrew Sailor, Osceola Middle School, Ocala, FL Lahai Wicks. St. Luke Middle School, Columbus, GA Chad Birch. Eastern Kentucky University, Richmond, KY Gavin Tse.  South Pasadena Middle School, South Pasadena, CA Zelko Zahtila. Melbourne, Australia Vina Su.  South Pasadena Middle School, South Pasadena, CA Hema Suresh.  Sunrise, FL Aashrita Mangu.  South Pasadena Middle School, South Pasadena, CA Anthony San Pedro.  South Pasadena Middles School, South Pasadena, CA Anthony Pabillano. Flour Bluff High School, Corpus Christi, TX. Erica Kassman. Forsyth Country Day School, NC Gary Brensike. Fairfax, VA April Spears. Eastern Kentucky University, Richmond, KY Frank McGartland.  Saskatoon, SK., Canada Shareef Bacchus. Hilsman Middle School Rin Sone. South Pasadena Middle School, CA Karina Shaw. Laguna Beach High School, Laguna Beach, CA Lindsey. Dartmouth High School, Dartmouth, MA Christian Allen. South Pasadena Middle School, South Pasadena, CA James Kawakami, South Pasadena Middle School Tim Besse.  Francis Howell North High School David Burns. Bridgeford Middle School, Laredo, TX Cong Tian. Sachem North High School, Long Island, NY Ted Aronson. Norwood, MA Ryan Elmer. Kingwood, TX Shengzhi Li. Shrewsbury High School, Shrewsbury, MA Chiraag Gupta. Southridge School, Surrey, B.C., Canada Katherine Wang.  South Pasadena Middle School, South Pasadena, CA Jon Gomes. New York, NY Max White.  South Pasadena Middle School, South Pasadena, CA Paul Sproge.  Ocean County College, Brick, NJ Jennifer Pevley. Eastern Kentucky University, Richmond, KY Seth Flowers. Parkersburg High School, Parkersburg,  WV Josh Gow. Sauk Centre HS, Sauk Centre, MN Ryan Dailey. Las Cruces High School Alexander Taciuk. Southridge School, Surrey BC, Canada Ross Pacheco. Hastings Middle School, Fairhaven, MA Dan Dietz. Creekwood Middle School, Kingwood, TX Hayley Dance. Faith Lutheran College, Queensland, Australia Daniel Acosta-Kane. Miami Killian Senior High School, Miami, FL Drew Wolfard. Kea'au Middle School, Kea'au, HI Jennifer Sailor. Osceola Middle School, Ocala, FL Nicholas Caligaris. Brookstone School, Columbus, GA Jack Warren.  St. Luke Middle School, Columbus, GA Minh Tran. Barton Secondary School Jonathan Uesato. Milpitas Christian School, San Jose, CA Kevin & Willie Dong.  Westlake Elementary School, Santa Cruz, CA Yee-Lum Mak.  South Pasadena Middle School, South Pasadena, CA Iver Meng.  South Pasadena Middle School, South Pasadena, CA Christopher Souza.  North Dartmouth Middle School, North Dartmouth, MA

 

 Last Updated On: 3/13/06