In how many ways can the top six seeds (rankings) be chosen from nine players on the tennis team
Mathematics · High School · Tue Nov 03 2020
Answered on
Determine how many ways can top six seeds or rankings be chosen from nine player on the tennis team.
Solution:
The given condition can be solve by using the combination formula,
nCr = n! / r! (n -r)!
n =9
r = 6
9C6 = 9!/ 6! (9 - 6)!
9C6 = 9!/ 6! 3!
6! cancels leaving behind,
9C6 = 9 x 8 x 7 / 3 x 2 x 1
9C6 = 504/6
9C6 = 84
Final answer:
There are 84 ways in choosing the top six seeds