How do you evaluate 11C4?
1 Answer
Jun 29, 2017
Explanation:
#"using the definition of the "color(blue)"binomial coefficient"#
#• color(white)(xx) ^nC_r=(n!)/(r!(n-r)!)#
#"where " n! =n(n-1)(n-2)........xx1#
#"here " n=11" and " r=4#
#rArr^(11)C_4=(11!)/(4!7!)#
#color(blue)"cancel 7! from numerator/denominator"#
#=(11xx10xx9xx8)/(4xx3xx2xx1)#
#=330#
