Problema Solution
a baseball manager has 10 players of the same ability. How many 9 player starting lineups can he create?
Answer provided by our tutors
The answer is k-permutations of n elements where n = 10, k = 9.
The formula for k-permutations of n elements is:
P(n , k) = n!/(n - k)!
P(10, 9) = 10!/(10 - 9)!
P(10, 9) = 10!
P(10, 9) = 3,628,800
The baseball manager can create 3,628,800 starting lineups.