Answer
$110$
Work Step by Step
Since, we have $\sum_{i=1}^{5}[\dfrac{(i+2)!}{i!}]=\dfrac{3!}{1!}+\dfrac{4!}{2!}+\dfrac{5!}{3!}+\dfrac{6!}{4!}+\dfrac{7!}{5!}$
$=6+12+20+30+42$
Hence, we get
or, $=110$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.