Question

find the value of \\(\frac{11!}{3!8!}\\). question help: message instructor submit question

Explanation:

Step1: Expand the factorials

$$ \frac{11!}{3!8!}=\frac{11\times10\times9\times8!}{3\times2\times1\times8!} $$

Step2: Cancel out the common terms

Cancel out \(8!\) in the numerator and denominator:

$$ \frac{11\times10\times9}{3\times2\times1} $$

Step3: Calculate the value

$$ \frac{11\times10\times9}{6}=\frac{990}{6} = 165 $$

Answer:

165