Question

Evaluate the factorial expression.10!/7!

Answer 1

To evaluate the expression we need to remember that:

`n!=n(n-1)!`

Then we have:

`(10!)/(7!)=(10\cdot9!)/(7!)=(10\cdot9\cdot8!)/(7!)=(10\cdot9\cdot8\cdot7!)/(7!)=10\cdot9\cdot8=720`

Therefore:

`(10!)/(7!)=720`