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

1 Answer
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