Let n be a natural number. Give a combinatorial proof of the following: 2n C 2 n C 1 ! D 2n n C 1 ! C 2 2n n ! C 2n n 1 ! :
Chingiz Mardanov cm3283@drexel.edu Philadelphia, PA 19104 • chingiz@li.ru • 215-594-3163 Education Drexel University Philadelphia, PA Bachelor of Science in Computer Science Anticipated Graduation - June 2019 Concentration in Information Security Cumulative GPA: 3.77 Honors and Awards Dean’s Freshman 4.0 Scholarship, Drexel University, December 2014 Anthony J. Drexel Scholarship, Drexel University, September 2014 - Present Drexel University Endowed Scholarship, Drexel University, September 2014 - Present Drexel Dragon Scholarship, Drexel University, September 2014 - Present Dean’s List, Drexel University, December 2014 - Present Skills Operating Systems: Windows XP/Vista/7/8, Linux, Mac OS Medium knowledge of: C++, Java, Python, Bash, HTML, JavaScript, CSS, Applescript System Administrating: Captive Portal, Authorization, Zabbix, Webmin, starting web and mail servers Foreign Languages: Russian (native), Tatar Experience LPTSystem