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

Oct 20, 2015

$8821612800$ 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!)

$= 8821612800$