Question

Show that the letters of the word INSURANCE
arranged in twice as many ways as the letters of the
ECONOMICS.​

Answer 1

INSURANCE - $\dfrac{9!}{2!}=\dfrac{9!}{2}$

ECONOMICS - $\dfrac{9!}{2!2!}=\dfrac{9!}{2\cdot2}$

As we can see, the former is twice bigger than the latter.