How do you evaluate 11C4?
1 Answer
Jun 29, 2017
Explanation:
"using the definition of the "color(blue)"binomial coefficient"using the definition of the binomial coefficient
• color(white)(xx) ^nC_r=(n!)/(r!(n-r)!)∙×nCr=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
