Question

упростите выражение (15!)/(11! *4!)

Answer 1

$\dfrac{15!}{11!\cdot4!}=\dfrac{11!\cdot12\cdot13\cdot14\cdot15}{11!\cdot4!}=\dfrac{12\cdot13\cdot14\cdot15}{4!}=\dfrac{32760}{1\cdot2\cdot3\cdot4}=\\\\\\ =\dfrac{32760}{24}=\bold{1365}$