Question

How many ways can you arrange a bating line up of 9 players out of the 17 on your team?

Answer 1

`8821612800` different ways

Explanation:

This is equivalent to asking in how many ways can you choose 9 out of an available 17 and arrange them in an order.

Hence the answer is the permutation

`""^17P_9=(17!)/((17-9)!)`

`=(17xx16xx15xx14xx13xx12xx11xx10xx9xx8!)/(8!)`

`=8821612800`