SOLUTION: in how many ways can we choose a signal of four flags from a collection of 10 distinct flags ( where the order is important)?

Algebra ->  Permutations -> SOLUTION: in how many ways can we choose a signal of four flags from a collection of 10 distinct flags ( where the order is important)?      Log On


   

Question 918989: in how many ways can we choose a signal of four flags from a collection of 10 distinct flags ( where the order is important)?
Answer by Hawksfan(61) About Me  (Show Source):
You can put this solution on YOUR website!
Since order is important, This is a permutation.
With combination, order doesn't matter.

The formula for permutation P = n!/(n-r)!

In this case
n = 10 the total #
r = 4 the selected number chosen to take out of the total
P = 10!/(10-4)! = (10*9*8*7*6*5*4*3*2*1)/6!
= (10*9*8*7*6*5*4*3*2*1)/(6*5*4*3*2*1) = 10*9*8*7
= 5040