What is #(27!)/((27-11)!11!)#?

1 Answer
José F. · Room 204
Mar 17, 2016

13037895

Explanation:

#(27!)/((27-11)!11!)=(27!)/(16!11!)#

#(27!)/(16!)1/(11!)#

#=(color(red)27xx26xx25xxcolor(yellow)24xx23xxcolor(blue)22xx21xx20xx19xx18xx17)/(color(blue)11xx10xxcolor(red)9xx8xx7xxcolor(yellow)6xx5xxcolor(yellow)4xxcolor(red)3xxcolor(blue)2xx1)#

Cancel 27 with #3xx9#
Cancel 22 with #2xx11#
Cancel 24 with #4xx6#

#=(26xx25xx23xx21xx20xx19xx18xx17)/(10xx8xx7xx5)#

#=26xx(25/5)xx(20/10)xx23xx(21/7)xx19xx18xx17//8#

#=26xx5xx2xx23xx3xx19xx18xx17//8#

#=13,037,895#

Related questions
Impact of this question
1347 views around the world
You can reuse this answer
Creative Commons License