Hello, flyinhigh123!

You're expected to know the formula for Permutations

. . and be able to handle factorials.

objects taken at a time: .(1) The ratio of the number of arrangements of different objects taken at a time

to the number of arrangments of different objects taken at a time is .

Find the value of .

objects taken at a time: .

The ratio is: .

And we have: .

. . which simplifies to: .

Therefore: .