in how many ways can you pick afootball center and quater from 6 players who try out?
To find the number of ways to pick a football center and quarterback from 6 players who try out, you need to determine the number of combinations.
Step 1: Identify the number of players you have to choose from (6 players).
Step 2: Determine the number of positions you need to fill (2 positions: center and quarterback).
Step 3: Use the combination formula, which is given by nCr = n! / r!(n-r)!, where n represents the total number of players and r represents the number of positions you need to fill.
In this case, you need to find C(6, 2):
C(6, 2) = 6! / (2!(6-2)!)
= 6! / (2!4!)
= (6 x 5 x 4!) / (2! x 4!)
= (6 x 5) / 2!
= 30 / 2
= 15
There are 15 ways to pick a football center and quarterback from the 6 players who try out.