Question 76806
How many different 6-player starting squads can be formed from a volleyball team of 11 players?
This is a Combination Problem because:
1. repititions are not allowed 
2. order is NOT important
The formula for that is:
C(n,r)={{{highlight(n!/(r!(n-r)!))}}}
n=11 and r=6
C(6,11)={{{11!/(6!(11-6)!)}}}
{{{11*10*9*8*7*6!/(6!*5!)}}}
{{{11*10*9*8*7*cross(6!)/(cross(6!)*5!)}}}
{{{11*10*9*8*7/(5*4*3*2*1)}}}
{{{11*(5*2)(3*3)(4*2)*7/(5*4*3*2*1)}}}
{{{11*cross(5)*2*cross(3)*3*cross(4*2)*7/(cross(5*4*3*2*1))}}}
{{{11*2*3*7}}}
{{{highlight(462)}}}
If you have a TI-83 or 84, you can:
type in 6 [MATH] >>> to PRB 3:nCr hit enter then type 11 hit enter again and it gives you 462 that way.  
It depends on how much work your teacher wants to see.
Happy Calculating!!!!